Greatest Common Factor of 5528/754, 9271/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5528/754, 9271/116

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 5528/754,9271/116

Given fractions are 5528/754,9271/116

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 5528,9271

Greatest Common Factor of Numerators i.e. GCF of 5528,9271 is 1 .

LCM of Denominators means LCM of 754,116 as per the given fractions.

LCM of 754,116 is 1508 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5528,9271

GCF of Fractions 5528/754,9271/116 is 1/1508

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5528,9271 By Matching Biggest Common Factor Method

Greatest Common Factor of 5528,9271 By Matching Biggest Common Factor Method

Factors of 5528

List of positive integer factors of 5528 that divides 5528 without a remainder.

1,2,4,8,691,1382,2764,5528

Factors of 9271

List of positive integer factors of 9271 that divides 9271 without a remainder.

1,73,127,9271

Greatest Common Factor

We found the factors 5528,9271 . The biggest common factor number is the GCF number.
So the greatest common factor 5528,9271 is 1.

Lets's calculate LCM of 754,116

2 754, 116
29 377, 58
13, 2

∴ So the LCM of the given numbers is 2 x 29 x 13 x 2 = 1508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1508

Therefore, the GCF of Fractions 5528/754,9271/116 is 1/1508

Least Common Multiple of 754,116 with GCF Formula

Least Common Multiple of 754,116 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 754,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,116) = 58

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

GCF(754,116) x common factors =58 x 1 = 58

LCM(754,116) = ( 754 × 116 ) / 58

LCM(754,116) = 87464 / 58

LCM(754,116) = 1508


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 5528/754, 9271/116

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 5528/754, 9271/116?

Answer: GCF of Numerators as per given numbers 5528/754, 9271/116 is

GCF of Numerators i.e. for 5528,9271 is 1

LCM of denominators i.e. for 754,116 is 1508.

Thus, GCF of Fractions is 1/1508.Finally, GCF of Fractions for 5528/754, 9271/116 is 1/1508.