Greatest Common Factor of 9748/789, 7208/1416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9748/789, 7208/1416

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 9748/789,7208/1416

Given fractions are 9748/789,7208/1416

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 9748,7208

Greatest Common Factor of Numerators i.e. GCF of 9748,7208 is 4 .

LCM of Denominators means LCM of 789,1416 as per the given fractions.

LCM of 789,1416 is 372408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9748,7208

GCF of Fractions 9748/789,7208/1416 is 4/372408

2 9748, 7208
2 4874, 3604
2437, 1802

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

Greatest Common Factor of 9748,7208 By Matching Biggest Common Factor Method

Greatest Common Factor of 9748,7208 By Matching Biggest Common Factor Method

Factors of 9748

List of positive integer factors of 9748 that divides 9748 without a remainder.

1,2,4,2437,4874,9748

Factors of 7208

List of positive integer factors of 7208 that divides 7208 without a remainder.

1,2,4,8,17,34,53,68,106,136,212,424,901,1802,3604,7208

Greatest Common Factor

We found the factors 9748,7208 . The biggest common factor number is the GCF number.
So the greatest common factor 9748,7208 is 4.

Lets's calculate LCM of 789,1416

3 789, 1416
263, 472

∴ So the LCM of the given numbers is 3 x 263 x 472 = 372408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/372408

Therefore, the GCF of Fractions 9748/789,7208/1416 is 4/372408

Least Common Multiple of 789,1416 with GCF Formula

Least Common Multiple of 789,1416 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 789,1416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,1416) = 3

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

GCF(789,1416) x common factors =3 x 1 = 3

LCM(789,1416) = ( 789 × 1416 ) / 3

LCM(789,1416) = 1117224 / 3

LCM(789,1416) = 372408


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 9748/789, 7208/1416

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 9748/789, 7208/1416?

Answer: GCF of Numerators as per given numbers 9748/789, 7208/1416 is

GCF of Numerators i.e. for 9748,7208 is 4

LCM of denominators i.e. for 789,1416 is 372408.

Thus, GCF of Fractions is 4/372408.Finally, GCF of Fractions for 9748/789, 7208/1416 is 4/372408.