Greatest Common Factor of 7748/22, 8984/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7748/22, 8984/698

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 7748/22,8984/698

Given fractions are 7748/22,8984/698

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 7748,8984

Greatest Common Factor of Numerators i.e. GCF of 7748,8984 is 4 .

LCM of Denominators means LCM of 22,698 as per the given fractions.

LCM of 22,698 is 7678 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7748,8984

GCF of Fractions 7748/22,8984/698 is 4/7678

2 7748, 8984
2 3874, 4492
1937, 2246

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7748,8984 By Matching Biggest Common Factor Method

Greatest Common Factor of 7748,8984 By Matching Biggest Common Factor Method

Factors of 7748

List of positive integer factors of 7748 that divides 7748 without a remainder.

1,2,4,13,26,52,149,298,596,1937,3874,7748

Factors of 8984

List of positive integer factors of 8984 that divides 8984 without a remainder.

1,2,4,8,1123,2246,4492,8984

Greatest Common Factor

We found the factors 7748,8984 . The biggest common factor number is the GCF number.
So the greatest common factor 7748,8984 is 4.

Lets's calculate LCM of 22,698

2 22, 698
11, 349

∴ So the LCM of the given numbers is 2 x 11 x 349 = 7678

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7678

Therefore, the GCF of Fractions 7748/22,8984/698 is 4/7678

Least Common Multiple of 22,698 with GCF Formula

Least Common Multiple of 22,698 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 22,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,698) = 2

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

GCF(22,698) x common factors =2 x 1 = 2

LCM(22,698) = ( 22 × 698 ) / 2

LCM(22,698) = 15356 / 2

LCM(22,698) = 7678


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 7748/22, 8984/698

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 7748/22, 8984/698?

Answer: GCF of Numerators as per given numbers 7748/22, 8984/698 is

GCF of Numerators i.e. for 7748,8984 is 4

LCM of denominators i.e. for 22,698 is 7678.

Thus, GCF of Fractions is 4/7678.Finally, GCF of Fractions for 7748/22, 8984/698 is 4/7678.