Greatest Common Factor of 8614/131, 6429/8492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8614/131, 6429/8492

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 8614/131,6429/8492

Given fractions are 8614/131,6429/8492

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 8614,6429

Greatest Common Factor of Numerators i.e. GCF of 8614,6429 is 1 .

LCM of Denominators means LCM of 131,8492 as per the given fractions.

LCM of 131,8492 is 1112452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8614,6429

GCF of Fractions 8614/131,6429/8492 is 1/1112452

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

Greatest Common Factor of 8614,6429 By Matching Biggest Common Factor Method

Greatest Common Factor of 8614,6429 By Matching Biggest Common Factor Method

Factors of 8614

List of positive integer factors of 8614 that divides 8614 without a remainder.

1,2,59,73,118,146,4307,8614

Factors of 6429

List of positive integer factors of 6429 that divides 6429 without a remainder.

1,3,2143,6429

Greatest Common Factor

We found the factors 8614,6429 . The biggest common factor number is the GCF number.
So the greatest common factor 8614,6429 is 1.

Lets's calculate LCM of 131,8492

Given numbers has no common factors except 1. So, there LCM is their product i.e 1112452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1112452

Therefore, the GCF of Fractions 8614/131,6429/8492 is 1/1112452

Least Common Multiple of 131,8492 with GCF Formula

Least Common Multiple of 131,8492 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 131,8492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,8492) = 1

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

GCF(131,8492) x common factors =1 x 1 = 1

LCM(131,8492) = ( 131 × 8492 ) / 1

LCM(131,8492) = 1112452 / 1

LCM(131,8492) = 1112452


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 8614/131, 6429/8492

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 8614/131, 6429/8492?

Answer: GCF of Numerators as per given numbers 8614/131, 6429/8492 is

GCF of Numerators i.e. for 8614,6429 is 1

LCM of denominators i.e. for 131,8492 is 1112452.

Thus, GCF of Fractions is 1/1112452.Finally, GCF of Fractions for 8614/131, 6429/8492 is 1/1112452.