Greatest Common Factor of 9728/22, 7414/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9728/22, 7414/787

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 9728/22,7414/787

Given fractions are 9728/22,7414/787

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 9728,7414

Greatest Common Factor of Numerators i.e. GCF of 9728,7414 is 2 .

LCM of Denominators means LCM of 22,787 as per the given fractions.

LCM of 22,787 is 17314 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9728,7414

GCF of Fractions 9728/22,7414/787 is 2/17314

2 9728, 7414
4864, 3707

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

Greatest Common Factor of 9728,7414 By Matching Biggest Common Factor Method

Greatest Common Factor of 9728,7414 By Matching Biggest Common Factor Method

Factors of 9728

List of positive integer factors of 9728 that divides 9728 without a remainder.

1,2,4,8,16,19,32,38,64,76,128,152,256,304,512,608,1216,2432,4864,9728

Factors of 7414

List of positive integer factors of 7414 that divides 7414 without a remainder.

1,2,11,22,337,674,3707,7414

Greatest Common Factor

We found the factors 9728,7414 . The biggest common factor number is the GCF number.
So the greatest common factor 9728,7414 is 2.

Lets's calculate LCM of 22,787

Given numbers has no common factors except 1. So, there LCM is their product i.e 17314

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17314

Therefore, the GCF of Fractions 9728/22,7414/787 is 2/17314

Least Common Multiple of 22,787 with GCF Formula

Least Common Multiple of 22,787 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 22,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,787) = 1

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

GCF(22,787) x common factors =1 x 1 = 1

LCM(22,787) = ( 22 × 787 ) / 1

LCM(22,787) = 17314 / 1

LCM(22,787) = 17314


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 9728/22, 7414/787

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 9728/22, 7414/787?

Answer: GCF of Numerators as per given numbers 9728/22, 7414/787 is

GCF of Numerators i.e. for 9728,7414 is 2

LCM of denominators i.e. for 22,787 is 17314.

Thus, GCF of Fractions is 2/17314.Finally, GCF of Fractions for 9728/22, 7414/787 is 2/17314.