Greatest Common Factor of 8617/508, 9977/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8617/508, 9977/402

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 8617/508,9977/402

Given fractions are 8617/508,9977/402

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 8617,9977

Greatest Common Factor of Numerators i.e. GCF of 8617,9977 is 1 .

LCM of Denominators means LCM of 508,402 as per the given fractions.

LCM of 508,402 is 102108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8617,9977

GCF of Fractions 8617/508,9977/402 is 1/102108

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

Greatest Common Factor of 8617,9977 By Matching Biggest Common Factor Method

Greatest Common Factor of 8617,9977 By Matching Biggest Common Factor Method

Factors of 8617

List of positive integer factors of 8617 that divides 8617 without a remainder.

1,7,1231,8617

Factors of 9977

List of positive integer factors of 9977 that divides 9977 without a remainder.

1,11,907,9977

Greatest Common Factor

We found the factors 8617,9977 . The biggest common factor number is the GCF number.
So the greatest common factor 8617,9977 is 1.

Lets's calculate LCM of 508,402

2 508, 402
254, 201

∴ So the LCM of the given numbers is 2 x 254 x 201 = 102108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102108

Therefore, the GCF of Fractions 8617/508,9977/402 is 1/102108

Least Common Multiple of 508,402 with GCF Formula

Least Common Multiple of 508,402 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 508,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,402) = 2

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

GCF(508,402) x common factors =2 x 1 = 2

LCM(508,402) = ( 508 × 402 ) / 2

LCM(508,402) = 204216 / 2

LCM(508,402) = 102108


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 8617/508, 9977/402

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 8617/508, 9977/402?

Answer: GCF of Numerators as per given numbers 8617/508, 9977/402 is

GCF of Numerators i.e. for 8617,9977 is 1

LCM of denominators i.e. for 508,402 is 102108.

Thus, GCF of Fractions is 1/102108.Finally, GCF of Fractions for 8617/508, 9977/402 is 1/102108.