Greatest Common Factor of 5891/732, 4506/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5891/732, 4506/892

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 5891/732,4506/892

Given fractions are 5891/732,4506/892

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 5891,4506

Greatest Common Factor of Numerators i.e. GCF of 5891,4506 is 1 .

LCM of Denominators means LCM of 732,892 as per the given fractions.

LCM of 732,892 is 163236 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5891,4506

GCF of Fractions 5891/732,4506/892 is 1/163236

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

Greatest Common Factor of 5891,4506 By Matching Biggest Common Factor Method

Greatest Common Factor of 5891,4506 By Matching Biggest Common Factor Method

Factors of 5891

List of positive integer factors of 5891 that divides 5891 without a remainder.

1,43,137,5891

Factors of 4506

List of positive integer factors of 4506 that divides 4506 without a remainder.

1,2,3,6,751,1502,2253,4506

Greatest Common Factor

We found the factors 5891,4506 . The biggest common factor number is the GCF number.
So the greatest common factor 5891,4506 is 1.

Lets's calculate LCM of 732,892

2 732, 892
2 366, 446
183, 223

∴ So the LCM of the given numbers is 2 x 2 x 183 x 223 = 163236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163236

Therefore, the GCF of Fractions 5891/732,4506/892 is 1/163236

Least Common Multiple of 732,892 with GCF Formula

Least Common Multiple of 732,892 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 732,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,892) = 4

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

GCF(732,892) x common factors =4 x 1 = 4

LCM(732,892) = ( 732 × 892 ) / 4

LCM(732,892) = 652944 / 4

LCM(732,892) = 163236


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 5891/732, 4506/892

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 5891/732, 4506/892?

Answer: GCF of Numerators as per given numbers 5891/732, 4506/892 is

GCF of Numerators i.e. for 5891,4506 is 1

LCM of denominators i.e. for 732,892 is 163236.

Thus, GCF of Fractions is 1/163236.Finally, GCF of Fractions for 5891/732, 4506/892 is 1/163236.