Greatest Common Factor of 5036/251, 7653/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5036/251, 7653/670

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 5036/251,7653/670

Given fractions are 5036/251,7653/670

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 5036,7653

Greatest Common Factor of Numerators i.e. GCF of 5036,7653 is 1 .

LCM of Denominators means LCM of 251,670 as per the given fractions.

LCM of 251,670 is 168170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5036,7653

GCF of Fractions 5036/251,7653/670 is 1/168170

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

Greatest Common Factor of 5036,7653 By Matching Biggest Common Factor Method

Greatest Common Factor of 5036,7653 By Matching Biggest Common Factor Method

Factors of 5036

List of positive integer factors of 5036 that divides 5036 without a remainder.

1,2,4,1259,2518,5036

Factors of 7653

List of positive integer factors of 7653 that divides 7653 without a remainder.

1,3,2551,7653

Greatest Common Factor

We found the factors 5036,7653 . The biggest common factor number is the GCF number.
So the greatest common factor 5036,7653 is 1.

Lets's calculate LCM of 251,670

Given numbers has no common factors except 1. So, there LCM is their product i.e 168170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168170

Therefore, the GCF of Fractions 5036/251,7653/670 is 1/168170

Least Common Multiple of 251,670 with GCF Formula

Least Common Multiple of 251,670 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 251,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,670) = 1

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

GCF(251,670) x common factors =1 x 1 = 1

LCM(251,670) = ( 251 × 670 ) / 1

LCM(251,670) = 168170 / 1

LCM(251,670) = 168170


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 5036/251, 7653/670

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 5036/251, 7653/670?

Answer: GCF of Numerators as per given numbers 5036/251, 7653/670 is

GCF of Numerators i.e. for 5036,7653 is 1

LCM of denominators i.e. for 251,670 is 168170.

Thus, GCF of Fractions is 1/168170.Finally, GCF of Fractions for 5036/251, 7653/670 is 1/168170.