The HCF of 87 and 145 is 29. The greatest number that divides 87 and 145 exactly, leaving no remainder, is the HCF of the numbers. The factors of 87 and 145 are 1, 3, 29, 87, and 1, 5, 29, 145, respectively. The listing common factors, prime factorisation, and long division are the three most frequent methods used for calculating the HCF of 87 and 145.
Also read: Highest common factor
What is the HCF of 87 and 145?
The answer to this question is 29. This article shows how to find the HCF of 87 and 145 using various methods for your reference. The greatest of all their common factors is the Highest Common Factor (HCF) of two or more numbers.
How to Find HCF of 87 and 145?
There are three methods to find the HCF of 87 and 145:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 87 and 145 by Prime Factorisation Method
The prime factorisation of 87 and 145 is given by:
Prime factorisation of 87 = (3 × 29)
Prime factorisation of 145 = (5 × 29)
Hence, the HCF of 87 and 145 is 29.
HCF (87, 145) = 29
HCF of 87 and 145 by Long Division Method
The divisor that we receive when the remainder is 0 after doing long division repeatedly is the HCF of 87 and 145.
No further division can be done.
Hence, HCF (87, 145) = 29
HCF of 87 and 145 by Listing Common Factors
To calculate the HCF of 87 and 145 by listing common factors, list the factors as shown below:
Factors of 87: 1, 3, 29, 87
Factors of 145: 1, 5, 29, 145
There are 2 common factors of 87 and 145, and they are 1 and 29. Therefore, the Highest Common Factor of 87 and 145 is 29.
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Video Lesson on Properties of HCF and LCM
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HCF of 87 and 145 Solved Example
For two numbers, HCF = 29 and LCM = 435. If one number is 87, find the other number.
Solution:
Given: HCF (x, 87) = 29 and LCM (x, 87) = 435
We know that HCF × LCM = 87 × (x)
⇒ x = (HCF × LCM)/87
⇒ x = (29 × 435)/87
⇒ x = 145
Therefore, the other number is 145.
Frequently Asked Questions on HCF of 87 and 145
What is the HCF of 87 and 145?
What is the relation between LCM and HCF of 87 and 145?
What are the methods to find HCF of 87 and 145?
Long Division
Listing Common Factors
Prime Factorisation
How to find the HCF of 87 and 145 by long division method?
How to find the HCF of 87 and 145 by prime factorisation?
⇒ 29 is the only common prime factor of 87 and 145. Hence, HCF (87, 145) = 29.
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