Greatest Common Factor of 402/117, 5251/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 402/117, 5251/416

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 402/117,5251/416

Given fractions are 402/117,5251/416

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 402,5251

Greatest Common Factor of Numerators i.e. GCF of 402,5251 is 1 .

LCM of Denominators means LCM of 117,416 as per the given fractions.

LCM of 117,416 is 3744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 402,5251

GCF of Fractions 402/117,5251/416 is 1/3744

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

Greatest Common Factor of 402,5251 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,5251 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 5251

List of positive integer factors of 5251 that divides 5251 without a remainder.

1,59,89,5251

Greatest Common Factor

We found the factors 402,5251 . The biggest common factor number is the GCF number.
So the greatest common factor 402,5251 is 1.

Lets's calculate LCM of 117,416

13 117, 416
9, 32

∴ So the LCM of the given numbers is 13 x 9 x 32 = 3744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3744

Therefore, the GCF of Fractions 402/117,5251/416 is 1/3744

Least Common Multiple of 117,416 with GCF Formula

Least Common Multiple of 117,416 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 117,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,416) = 13

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

GCF(117,416) x common factors =13 x 1 = 13

LCM(117,416) = ( 117 × 416 ) / 13

LCM(117,416) = 48672 / 13

LCM(117,416) = 3744


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 402/117, 5251/416

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 402/117, 5251/416?

Answer: GCF of Numerators as per given numbers 402/117, 5251/416 is

GCF of Numerators i.e. for 402,5251 is 1

LCM of denominators i.e. for 117,416 is 3744.

Thus, GCF of Fractions is 1/3744.Finally, GCF of Fractions for 402/117, 5251/416 is 1/3744.