Greatest Common Factor of 9698/927, 8456/1032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9698/927, 8456/1032

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 9698/927,8456/1032

Given fractions are 9698/927,8456/1032

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 9698,8456

Greatest Common Factor of Numerators i.e. GCF of 9698,8456 is 2 .

LCM of Denominators means LCM of 927,1032 as per the given fractions.

LCM of 927,1032 is 318888 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9698,8456

GCF of Fractions 9698/927,8456/1032 is 2/318888

2 9698, 8456
4849, 4228

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

Greatest Common Factor of 9698,8456 By Matching Biggest Common Factor Method

Greatest Common Factor of 9698,8456 By Matching Biggest Common Factor Method

Factors of 9698

List of positive integer factors of 9698 that divides 9698 without a remainder.

1,2,13,26,373,746,4849,9698

Factors of 8456

List of positive integer factors of 8456 that divides 8456 without a remainder.

1,2,4,7,8,14,28,56,151,302,604,1057,1208,2114,4228,8456

Greatest Common Factor

We found the factors 9698,8456 . The biggest common factor number is the GCF number.
So the greatest common factor 9698,8456 is 2.

Lets's calculate LCM of 927,1032

3 927, 1032
309, 344

∴ So the LCM of the given numbers is 3 x 309 x 344 = 318888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/318888

Therefore, the GCF of Fractions 9698/927,8456/1032 is 2/318888

Least Common Multiple of 927,1032 with GCF Formula

Least Common Multiple of 927,1032 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 927,1032 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(927,1032) = 3

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

GCF(927,1032) x common factors =3 x 1 = 3

LCM(927,1032) = ( 927 × 1032 ) / 3

LCM(927,1032) = 956664 / 3

LCM(927,1032) = 318888


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 9698/927, 8456/1032

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 9698/927, 8456/1032?

Answer: GCF of Numerators as per given numbers 9698/927, 8456/1032 is

GCF of Numerators i.e. for 9698,8456 is 2

LCM of denominators i.e. for 927,1032 is 318888.

Thus, GCF of Fractions is 2/318888.Finally, GCF of Fractions for 9698/927, 8456/1032 is 2/318888.