Greatest Common Factor of 5062/582, 5377/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5062/582, 5377/997

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 5062/582,5377/997

Given fractions are 5062/582,5377/997

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 5062,5377

Greatest Common Factor of Numerators i.e. GCF of 5062,5377 is 1 .

LCM of Denominators means LCM of 582,997 as per the given fractions.

LCM of 582,997 is 580254 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5062,5377

GCF of Fractions 5062/582,5377/997 is 1/580254

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

Greatest Common Factor of 5062,5377 By Matching Biggest Common Factor Method

Greatest Common Factor of 5062,5377 By Matching Biggest Common Factor Method

Factors of 5062

List of positive integer factors of 5062 that divides 5062 without a remainder.

1,2,2531,5062

Factors of 5377

List of positive integer factors of 5377 that divides 5377 without a remainder.

1,19,283,5377

Greatest Common Factor

We found the factors 5062,5377 . The biggest common factor number is the GCF number.
So the greatest common factor 5062,5377 is 1.

Lets's calculate LCM of 582,997

Given numbers has no common factors except 1. So, there LCM is their product i.e 580254

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/580254

Therefore, the GCF of Fractions 5062/582,5377/997 is 1/580254

Least Common Multiple of 582,997 with GCF Formula

Least Common Multiple of 582,997 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 582,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,997) = 1

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

GCF(582,997) x common factors =1 x 1 = 1

LCM(582,997) = ( 582 × 997 ) / 1

LCM(582,997) = 580254 / 1

LCM(582,997) = 580254


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 5062/582, 5377/997

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 5062/582, 5377/997?

Answer: GCF of Numerators as per given numbers 5062/582, 5377/997 is

GCF of Numerators i.e. for 5062,5377 is 1

LCM of denominators i.e. for 582,997 is 580254.

Thus, GCF of Fractions is 1/580254.Finally, GCF of Fractions for 5062/582, 5377/997 is 1/580254.