Greatest Common Factor of 5137/89, 1582/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5137/89, 1582/469

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 5137/89,1582/469

Given fractions are 5137/89,1582/469

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 5137,1582

Greatest Common Factor of Numerators i.e. GCF of 5137,1582 is 1 .

LCM of Denominators means LCM of 89,469 as per the given fractions.

LCM of 89,469 is 41741 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5137,1582

GCF of Fractions 5137/89,1582/469 is 1/41741

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

Greatest Common Factor of 5137,1582 By Matching Biggest Common Factor Method

Greatest Common Factor of 5137,1582 By Matching Biggest Common Factor Method

Factors of 5137

List of positive integer factors of 5137 that divides 5137 without a remainder.

1,11,467,5137

Factors of 1582

List of positive integer factors of 1582 that divides 1582 without a remainder.

1,2,7,14,113,226,791,1582

Greatest Common Factor

We found the factors 5137,1582 . The biggest common factor number is the GCF number.
So the greatest common factor 5137,1582 is 1.

Lets's calculate LCM of 89,469

Given numbers has no common factors except 1. So, there LCM is their product i.e 41741

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41741

Therefore, the GCF of Fractions 5137/89,1582/469 is 1/41741

Least Common Multiple of 89,469 with GCF Formula

Least Common Multiple of 89,469 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 89,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,469) = 1

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

GCF(89,469) x common factors =1 x 1 = 1

LCM(89,469) = ( 89 × 469 ) / 1

LCM(89,469) = 41741 / 1

LCM(89,469) = 41741


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 5137/89, 1582/469

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 5137/89, 1582/469?

Answer: GCF of Numerators as per given numbers 5137/89, 1582/469 is

GCF of Numerators i.e. for 5137,1582 is 1

LCM of denominators i.e. for 89,469 is 41741.

Thus, GCF of Fractions is 1/41741.Finally, GCF of Fractions for 5137/89, 1582/469 is 1/41741.