HCF of 391, 425 and 527

The HCF of 391, 425 and 527 is 17. The HCF is the highest integer that evenly divides the numbers 391, 425 and 527. The factors of 391 are 1, 17, 23, 391, the factors of 425 are 1, 5, 17, 25, 85, 425, and the factors of 527 are 1, 17, 31, 527. The methods used to find the HCF are prime factorisation, long division and listing common factors.

What is the HCF of 391, 425 and 527?

The answer to this question is 17. The HCF of 391, 425 and 527 using the different methods is explained accurately in this article. The HCF of 391, 425 and 527 is 17, which can divide 391, 425 and 527 exactly.

Also read: Highest common factor

How to Find HCF of 391, 425 and 527?

There are three methods to find the HCF of 391, 425 and 527:

  • Prime Factorisation
  • Long Division method
  • Listing common factors

HCF of 391, 425 and 527 by Prime Factorisation Method

The prime factorisation of 391, 425 and 527 is given by:

391 = 17 × 23

425 = 5 × 5 × 17

527 = 17 × 31

Common prime factors of 391, 425 and 527 = 17

Therefore, HCF (391, 425, 527) = 17

HCF of 391, 425 and 527 by Long Division Method

We need to divide 391, 425, and 527 by their prime factors to get the HCF of 391, 425 and 527 using the division method. The HCF of 391, 425 and 527 is the divisor we get when the remainder becomes zero.

First, let us divide 527 by 391

HCF of 391, 425 and 527

Now again, by dividing 425 by 17

HCF of 391, 425 and 527

Hence, HCF (391, 425, 527) = 17

HCF of 391, 425 and 527 by Listing Common Factors

We can calculate the HCF of 391, 425 and 527 by listing the common factors as provided here:

Factors of 391: 1, 17, 23, 391

Factors of 425: 1, 5, 17, 25, 85, 425

Factors of 527: 1, 17, 31, 527

There are 2 common factors of 391, 425 and 527, and they are 1 and 17.

Therefore, the highest common factor of 391, 425 and 527 is 17.

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Video Lesson on Properties of HCF and LCM

HCF of 391, 425 and 527 Solved Example

Question: Among the numbers, 527, 528, 17, 543, 567, 576, 533, 547, find the HCF of 391, 425 and 527.

Solution:

HCF of 391, 425 and 527 is the number which equally divides 391, 425 and 527 when the remainder is zero.

The number which satisfies this condition is 17.

Hence, the HCF is 17.

Frequently Asked Questions on HCF of 391, 425 and 527

Q1

What is the HCF of 391, 425 and 527?

The HCF of 391, 425 and 527 is 17.
Q2

How can we calculate the HCF of 391, 425 and 527, using the prime factorisation method?

Using the prime factorisation method, we can calculate the HCF of 391, 425 and 527,

391 = 17 × 23

425 = 5 × 5 × 17

527 = 17 × 31

Therefore, the HCF is 17.

Q3

What methods can we use to find HCF of 391, 425 and 527?

The methods we can use to find the HCF of 391, 425 and 527 are Long Division, Listing Common Factors and Prime Factorisation.
Q4

Find the HCF of 391, 425 and 527 using the LCM.

As per prime factorisation

391 = 17 × 23

425 = 5 × 5 × 17

527 = 17 × 31

LCM (391, 425) = 9775

LCM (425, 527) = 13175

LCM (527, 391) = 12121

LCM (391, 425, 527) = 303025

HCF (391, 425, 527) = [(391 × 425 × 527) × LCM (391, 425, 527)]/[LCM (391, 425) × LCM (425, 527) x LCM (527, 391)]

HCF (391, 425, 527) = (87574225 × 303025)/ (9775 × 13175 × 12121)

HCF (391, 425, 527) = 17

Q5

Mention the relation between HCF and LCM of 391, 425 and 527.

The relation between HCF and LCM of 391, 425 and 527 is

HCF × LCM = 391 × 425 × 527

HCF × LCM = 87574225

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