HCF of 87 and 145 is the largest possible number that divides 87 and 145 exactly without any remainder. The factors of 87 and 145 are 1, 3, 29, 87 and 1, 5, 29, 145 respectively. There are 3 commonly used methods to find the HCF of 87 and 145 - Euclidean algorithm, prime factorization, and long division. Show
What is HCF of 87 and 145?Answer: HCF of 87 and 145 is 29.  Explanation: The HCF of two non-zero integers, x(87) and y(145), is the highest positive integer m(29) that divides both x(87) and y(145) without any remainder. Methods to Find HCF of 87 and 145Let's look at the different methods for finding the HCF of 87 and 145.
HCF of 87 and 145 by Long DivisionHCF of 87 and 145 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.
The corresponding divisor (29) is the HCF of 87 and 145. HCF of 87 and 145 by Prime FactorizationPrime factorization of 87 and 145 is (3 × 29) and (5 × 29) respectively. As visible, 87 and 145 have only one common prime factor i.e. 29. Hence, the HCF of 87 and 145 is 29. HCF of 87 and 145 by Listing Common Factors
There are 2 common factors of 87 and 145, that are 1 and 29. Therefore, the highest common factor of 87 and 145 is 29. ☛ Also Check:
HCF of 87 and 145 Examples
Example 3: The product of two numbers is 12615. If their HCF is 29, what is their LCM? Solution: Given: HCF = 29 and product of numbers = 12615 ∵ LCM × HCF = product of numbers ⇒ LCM = Product/HCF = 12615/29 Therefore, the LCM is 435. go to slidego to slidego to slide
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The HCF of 87 and 145 is 29. To calculate the Highest common factor of 87 and 145, we need to factor each number (factors of 87 = 1, 3, 29, 87; factors of 145 = 1, 5, 29, 145) and choose the highest factor that exactly divides both 87 and 145, i.e., 29. What is the Relation Between LCM and HCF of 87, 145?The following equation can be used to express the relation between LCM and HCF of 87 and 145, i.e. HCF × LCM = 87 × 145. What are the Methods to Find HCF of 87 and 145?There are three commonly used methods to find the HCF of 87 and 145.
How to Find the HCF of 87 and 145 by Prime Factorization?To find the HCF of 87 and 145, we will find the prime factorization of the given numbers, i.e. 87 = 3 × 29; 145 = 5 × 29. ⇒ Since 29 is the only common prime factor of 87 and 145. Hence, HCF (87, 145) = 29. ☛ Prime Number If the HCF of 145 and 87 is 29, Find its LCM.HCF(145, 87) × LCM(145, 87) = 145 × 87 Since the HCF of 145 and 87 = 29 ⇒ 29 × LCM(145, 87) = 12615 Therefore, LCM = 435 ☛ Highest Common Factor Calculator How to Find the HCF of 87 and 145 by Long Division Method?To find the HCF of 87, 145 using long division method, 145 is divided by 87. The corresponding divisor (29) when remainder equals 0 is taken as HCF.
Question 4 Real Numbers Exercise 1B Next
Answer:
Given: HCF = 145 LCM = 2175 One of the two numbers = 725 Let another number be m. To Find: The value of m We know, product of two numbers = HCF × LCM Substitute the values, we get 725 x m = 145 x 2175 m = (145 x 2175)/725 = 435 The number is 435. Answer!
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The HCF of two number is 29 and their lcm is 435 if one of the number is 145 find the other
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