Greatest Common Factor of 8970/904, 9198/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8970/904, 9198/565

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 8970/904,9198/565

Given fractions are 8970/904,9198/565

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 8970,9198

Greatest Common Factor of Numerators i.e. GCF of 8970,9198 is 6 .

LCM of Denominators means LCM of 904,565 as per the given fractions.

LCM of 904,565 is 4520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8970,9198

GCF of Fractions 8970/904,9198/565 is 6/4520

2 8970, 9198
3 4485, 4599
1495, 1533

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 8970,9198 By Matching Biggest Common Factor Method

Greatest Common Factor of 8970,9198 By Matching Biggest Common Factor Method

Factors of 8970

List of positive integer factors of 8970 that divides 8970 without a remainder.

1,2,3,5,6,10,13,15,23,26,30,39,46,65,69,78,115,130,138,195,230,299,345,390,598,690,897,1495,1794,2990,4485,8970

Factors of 9198

List of positive integer factors of 9198 that divides 9198 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,73,126,146,219,438,511,657,1022,1314,1533,3066,4599,9198

Greatest Common Factor

We found the factors 8970,9198 . The biggest common factor number is the GCF number.
So the greatest common factor 8970,9198 is 6.

Lets's calculate LCM of 904,565

113 904, 565
8, 5

∴ So the LCM of the given numbers is 113 x 8 x 5 = 4520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4520

Therefore, the GCF of Fractions 8970/904,9198/565 is 6/4520

Least Common Multiple of 904,565 with GCF Formula

Least Common Multiple of 904,565 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 904,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,565) = 113

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

GCF(904,565) x common factors =113 x 1 = 113

LCM(904,565) = ( 904 × 565 ) / 113

LCM(904,565) = 510760 / 113

LCM(904,565) = 4520


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 8970/904, 9198/565

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 8970/904, 9198/565?

Answer: GCF of Numerators as per given numbers 8970/904, 9198/565 is

GCF of Numerators i.e. for 8970,9198 is 6

LCM of denominators i.e. for 904,565 is 4520.

Thus, GCF of Fractions is 6/4520.Finally, GCF of Fractions for 8970/904, 9198/565 is 6/4520.