Greatest Common Factor of 9104/564, 7208/9230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9104/564, 7208/9230

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 9104/564,7208/9230

Given fractions are 9104/564,7208/9230

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 9104,7208

Greatest Common Factor of Numerators i.e. GCF of 9104,7208 is 8 .

LCM of Denominators means LCM of 564,9230 as per the given fractions.

LCM of 564,9230 is 2602860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9104,7208

GCF of Fractions 9104/564,7208/9230 is 8/2602860

2 9104, 7208
2 4552, 3604
2 2276, 1802
1138, 901

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

Greatest Common Factor of 9104,7208 By Matching Biggest Common Factor Method

Greatest Common Factor of 9104,7208 By Matching Biggest Common Factor Method

Factors of 9104

List of positive integer factors of 9104 that divides 9104 without a remainder.

1,2,4,8,16,569,1138,2276,4552,9104

Factors of 7208

List of positive integer factors of 7208 that divides 7208 without a remainder.

1,2,4,8,17,34,53,68,106,136,212,424,901,1802,3604,7208

Greatest Common Factor

We found the factors 9104,7208 . The biggest common factor number is the GCF number.
So the greatest common factor 9104,7208 is 8.

Lets's calculate LCM of 564,9230

2 564, 9230
282, 4615

∴ So the LCM of the given numbers is 2 x 282 x 4615 = 2602860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2602860

Therefore, the GCF of Fractions 9104/564,7208/9230 is 8/2602860

Least Common Multiple of 564,9230 with GCF Formula

Least Common Multiple of 564,9230 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 564,9230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,9230) = 2

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

GCF(564,9230) x common factors =2 x 1 = 2

LCM(564,9230) = ( 564 × 9230 ) / 2

LCM(564,9230) = 5205720 / 2

LCM(564,9230) = 2602860


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 9104/564, 7208/9230

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 9104/564, 7208/9230?

Answer: GCF of Numerators as per given numbers 9104/564, 7208/9230 is

GCF of Numerators i.e. for 9104,7208 is 8

LCM of denominators i.e. for 564,9230 is 2602860.

Thus, GCF of Fractions is 8/2602860.Finally, GCF of Fractions for 9104/564, 7208/9230 is 8/2602860.