Greatest Common Factor of 5983/748, 7232/883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5983/748, 7232/883

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 5983/748,7232/883

Given fractions are 5983/748,7232/883

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 5983,7232

Greatest Common Factor of Numerators i.e. GCF of 5983,7232 is 1 .

LCM of Denominators means LCM of 748,883 as per the given fractions.

LCM of 748,883 is 660484 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5983,7232

GCF of Fractions 5983/748,7232/883 is 1/660484

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

Greatest Common Factor of 5983,7232 By Matching Biggest Common Factor Method

Greatest Common Factor of 5983,7232 By Matching Biggest Common Factor Method

Factors of 5983

List of positive integer factors of 5983 that divides 5983 without a remainder.

1,31,193,5983

Factors of 7232

List of positive integer factors of 7232 that divides 7232 without a remainder.

1,2,4,8,16,32,64,113,226,452,904,1808,3616,7232

Greatest Common Factor

We found the factors 5983,7232 . The biggest common factor number is the GCF number.
So the greatest common factor 5983,7232 is 1.

Lets's calculate LCM of 748,883

Given numbers has no common factors except 1. So, there LCM is their product i.e 660484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/660484

Therefore, the GCF of Fractions 5983/748,7232/883 is 1/660484

Least Common Multiple of 748,883 with GCF Formula

Least Common Multiple of 748,883 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 748,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,883) = 1

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

GCF(748,883) x common factors =1 x 1 = 1

LCM(748,883) = ( 748 × 883 ) / 1

LCM(748,883) = 660484 / 1

LCM(748,883) = 660484


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 5983/748, 7232/883

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 5983/748, 7232/883?

Answer: GCF of Numerators as per given numbers 5983/748, 7232/883 is

GCF of Numerators i.e. for 5983,7232 is 1

LCM of denominators i.e. for 748,883 is 660484.

Thus, GCF of Fractions is 1/660484.Finally, GCF of Fractions for 5983/748, 7232/883 is 1/660484.