Greatest Common Factor of 9304/788, 7614/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9304/788, 7614/160

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 9304/788,7614/160

Given fractions are 9304/788,7614/160

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 9304,7614

Greatest Common Factor of Numerators i.e. GCF of 9304,7614 is 2 .

LCM of Denominators means LCM of 788,160 as per the given fractions.

LCM of 788,160 is 31520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9304,7614

GCF of Fractions 9304/788,7614/160 is 2/31520

2 9304, 7614
4652, 3807

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

Greatest Common Factor of 9304,7614 By Matching Biggest Common Factor Method

Greatest Common Factor of 9304,7614 By Matching Biggest Common Factor Method

Factors of 9304

List of positive integer factors of 9304 that divides 9304 without a remainder.

1,2,4,8,1163,2326,4652,9304

Factors of 7614

List of positive integer factors of 7614 that divides 7614 without a remainder.

1,2,3,6,9,18,27,47,54,81,94,141,162,282,423,846,1269,2538,3807,7614

Greatest Common Factor

We found the factors 9304,7614 . The biggest common factor number is the GCF number.
So the greatest common factor 9304,7614 is 2.

Lets's calculate LCM of 788,160

2 788, 160
2 394, 80
197, 40

∴ So the LCM of the given numbers is 2 x 2 x 197 x 40 = 31520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31520

Therefore, the GCF of Fractions 9304/788,7614/160 is 2/31520

Least Common Multiple of 788,160 with GCF Formula

Least Common Multiple of 788,160 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 788,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,160) = 4

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

GCF(788,160) x common factors =4 x 1 = 4

LCM(788,160) = ( 788 × 160 ) / 4

LCM(788,160) = 126080 / 4

LCM(788,160) = 31520


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 9304/788, 7614/160

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 9304/788, 7614/160?

Answer: GCF of Numerators as per given numbers 9304/788, 7614/160 is

GCF of Numerators i.e. for 9304,7614 is 2

LCM of denominators i.e. for 788,160 is 31520.

Thus, GCF of Fractions is 2/31520.Finally, GCF of Fractions for 9304/788, 7614/160 is 2/31520.