Greatest Common Factor of 5267/616, 5137/607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5267/616, 5137/607

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 5267/616,5137/607

Given fractions are 5267/616,5137/607

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 5267,5137

Greatest Common Factor of Numerators i.e. GCF of 5267,5137 is 1 .

LCM of Denominators means LCM of 616,607 as per the given fractions.

LCM of 616,607 is 373912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5267,5137

GCF of Fractions 5267/616,5137/607 is 1/373912

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

Greatest Common Factor of 5267,5137 By Matching Biggest Common Factor Method

Greatest Common Factor of 5267,5137 By Matching Biggest Common Factor Method

Factors of 5267

List of positive integer factors of 5267 that divides 5267 without a remainder.

1,23,229,5267

Factors of 5137

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

1,11,467,5137

Greatest Common Factor

We found the factors 5267,5137 . The biggest common factor number is the GCF number.
So the greatest common factor 5267,5137 is 1.

Lets's calculate LCM of 616,607

Given numbers has no common factors except 1. So, there LCM is their product i.e 373912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/373912

Therefore, the GCF of Fractions 5267/616,5137/607 is 1/373912

Least Common Multiple of 616,607 with GCF Formula

Least Common Multiple of 616,607 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 616,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,607) = 1

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

GCF(616,607) x common factors =1 x 1 = 1

LCM(616,607) = ( 616 × 607 ) / 1

LCM(616,607) = 373912 / 1

LCM(616,607) = 373912


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 5267/616, 5137/607

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 5267/616, 5137/607?

Answer: GCF of Numerators as per given numbers 5267/616, 5137/607 is

GCF of Numerators i.e. for 5267,5137 is 1

LCM of denominators i.e. for 616,607 is 373912.

Thus, GCF of Fractions is 1/373912.Finally, GCF of Fractions for 5267/616, 5137/607 is 1/373912.