Greatest Common Factor of 9304/207, 3560/4842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9304/207, 3560/4842

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 9304/207,3560/4842

Given fractions are 9304/207,3560/4842

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 9304,3560

Greatest Common Factor of Numerators i.e. GCF of 9304,3560 is 8 .

LCM of Denominators means LCM of 207,4842 as per the given fractions.

LCM of 207,4842 is 111366 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9304,3560

GCF of Fractions 9304/207,3560/4842 is 8/111366

2 9304, 3560
2 4652, 1780
2 2326, 890
1163, 445

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 9304,3560 By Matching Biggest Common Factor Method

Greatest Common Factor of 9304,3560 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 3560

List of positive integer factors of 3560 that divides 3560 without a remainder.

1,2,4,5,8,10,20,40,89,178,356,445,712,890,1780,3560

Greatest Common Factor

We found the factors 9304,3560 . The biggest common factor number is the GCF number.
So the greatest common factor 9304,3560 is 8.

Lets's calculate LCM of 207,4842

3 207, 4842
3 69, 1614
23, 538

∴ So the LCM of the given numbers is 3 x 3 x 23 x 538 = 111366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/111366

Therefore, the GCF of Fractions 9304/207,3560/4842 is 8/111366

Least Common Multiple of 207,4842 with GCF Formula

Least Common Multiple of 207,4842 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 207,4842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(207,4842) = 9

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

GCF(207,4842) x common factors =9 x 1 = 9

LCM(207,4842) = ( 207 × 4842 ) / 9

LCM(207,4842) = 1002294 / 9

LCM(207,4842) = 111366


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9304/207, 3560/4842

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 9304/207, 3560/4842?

Answer: GCF of Numerators as per given numbers 9304/207, 3560/4842 is

GCF of Numerators i.e. for 9304,3560 is 8

LCM of denominators i.e. for 207,4842 is 111366.

Thus, GCF of Fractions is 8/111366.Finally, GCF of Fractions for 9304/207, 3560/4842 is 8/111366.