Greatest Common Factor of 9968/896, 7637/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9968/896, 7637/168

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 9968/896,7637/168

Given fractions are 9968/896,7637/168

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 9968,7637

Greatest Common Factor of Numerators i.e. GCF of 9968,7637 is 7 .

LCM of Denominators means LCM of 896,168 as per the given fractions.

LCM of 896,168 is 2688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9968,7637

GCF of Fractions 9968/896,7637/168 is 7/2688

7 9968, 7637
1424, 1091

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 9968,7637 By Matching Biggest Common Factor Method

Greatest Common Factor of 9968,7637 By Matching Biggest Common Factor Method

Factors of 9968

List of positive integer factors of 9968 that divides 9968 without a remainder.

1,2,4,7,8,14,16,28,56,89,112,178,356,623,712,1246,1424,2492,4984,9968

Factors of 7637

List of positive integer factors of 7637 that divides 7637 without a remainder.

1,7,1091,7637

Greatest Common Factor

We found the factors 9968,7637 . The biggest common factor number is the GCF number.
So the greatest common factor 9968,7637 is 7.

Lets's calculate LCM of 896,168

2 896, 168
2 448, 84
2 224, 42
7 112, 21
16, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 16 x 3 = 2688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2688

Therefore, the GCF of Fractions 9968/896,7637/168 is 7/2688

Least Common Multiple of 896,168 with GCF Formula

Least Common Multiple of 896,168 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 896,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,168) = 56

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

GCF(896,168) x common factors =56 x 1 = 56

LCM(896,168) = ( 896 × 168 ) / 56

LCM(896,168) = 150528 / 56

LCM(896,168) = 2688


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 9968/896, 7637/168

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 9968/896, 7637/168?

Answer: GCF of Numerators as per given numbers 9968/896, 7637/168 is

GCF of Numerators i.e. for 9968,7637 is 7

LCM of denominators i.e. for 896,168 is 2688.

Thus, GCF of Fractions is 7/2688.Finally, GCF of Fractions for 9968/896, 7637/168 is 7/2688.