Greatest Common Factor of 525/63, 9432/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 525/63, 9432/342

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 525/63,9432/342

Given fractions are 525/63,9432/342

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 525,9432

Greatest Common Factor of Numerators i.e. GCF of 525,9432 is 3 .

LCM of Denominators means LCM of 63,342 as per the given fractions.

LCM of 63,342 is 2394 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 525,9432

GCF of Fractions 525/63,9432/342 is 3/2394

3 525, 9432
175, 3144

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 525,9432 By Matching Biggest Common Factor Method

Greatest Common Factor of 525,9432 By Matching Biggest Common Factor Method

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 9432

List of positive integer factors of 9432 that divides 9432 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,131,262,393,524,786,1048,1179,1572,2358,3144,4716,9432

Greatest Common Factor

We found the factors 525,9432 . The biggest common factor number is the GCF number.
So the greatest common factor 525,9432 is 3.

Lets's calculate LCM of 63,342

3 63, 342
3 21, 114
7, 38

∴ So the LCM of the given numbers is 3 x 3 x 7 x 38 = 2394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2394

Therefore, the GCF of Fractions 525/63,9432/342 is 3/2394

Least Common Multiple of 63,342 with GCF Formula

Least Common Multiple of 63,342 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 63,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,342) = 9

common factors(in case of two or more numbers have common factors) = 1

GCF(63,342) x common factors =9 x 1 = 9

LCM(63,342) = ( 63 × 342 ) / 9

LCM(63,342) = 21546 / 9

LCM(63,342) = 2394


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 525/63, 9432/342

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 525/63, 9432/342?

Answer: GCF of Numerators as per given numbers 525/63, 9432/342 is

GCF of Numerators i.e. for 525,9432 is 3

LCM of denominators i.e. for 63,342 is 2394.

Thus, GCF of Fractions is 3/2394.Finally, GCF of Fractions for 525/63, 9432/342 is 3/2394.