Greatest Common Factor of 7644/429, 9578/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 7644/429, 9578/242

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 7644/429,9578/242

Given fractions are 7644/429,9578/242

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 7644,9578

Greatest Common Factor of Numerators i.e. GCF of 7644,9578 is 2 .

LCM of Denominators means LCM of 429,242 as per the given fractions.

LCM of 429,242 is 9438 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7644,9578

GCF of Fractions 7644/429,9578/242 is 2/9438

2 7644, 9578
3822, 4789

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7644,9578 By Matching Biggest Common Factor Method

Greatest Common Factor of 7644,9578 By Matching Biggest Common Factor Method

Factors of 7644

List of positive integer factors of 7644 that divides 7644 without a remainder.

1,2,3,4,6,7,12,13,14,21,26,28,39,42,49,52,78,84,91,98,147,156,182,196,273,294,364,546,588,637,1092,1274,1911,2548,3822,7644

Factors of 9578

List of positive integer factors of 9578 that divides 9578 without a remainder.

1,2,4789,9578

Greatest Common Factor

We found the factors 7644,9578 . The biggest common factor number is the GCF number.
So the greatest common factor 7644,9578 is 2.


Lets's calculate LCM of 429,242

11 429, 242
39, 22

∴ So the LCM of the given numbers is 11 x 39 x 22 = 9438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9438

Therefore, the GCF of Fractions 7644/429,9578/242 is 2/9438

Least Common Multiple of 429,242 with GCF Formula

Least Common Multiple of 429,242 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 429,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,242) = 11

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

GCF(429,242) x common factors =11 x 1 = 11

LCM(429,242) = ( 429 × 242 ) / 11

LCM(429,242) = 103818 / 11

LCM(429,242) = 9438


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 7644/429, 9578/242

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 7644/429, 9578/242?

Answer: GCF of Numerators as per given numbers 7644/429, 9578/242 is

GCF of Numerators i.e. for 7644,9578 is 2

LCM of denominators i.e. for 429,242 is 9438.

Thus, GCF of Fractions is 2/9438.Finally, GCF of Fractions for 7644/429, 9578/242 is 2/9438.