Greatest Common Factor of 966/426, 8645/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 966/426, 8645/493

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 966/426,8645/493

Given fractions are 966/426,8645/493

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 966,8645

Greatest Common Factor of Numerators i.e. GCF of 966,8645 is 7 .

LCM of Denominators means LCM of 426,493 as per the given fractions.

LCM of 426,493 is 210018 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 966,8645

GCF of Fractions 966/426,8645/493 is 7/210018

7 966, 8645
138, 1235

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 966,8645 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,8645 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 8645

List of positive integer factors of 8645 that divides 8645 without a remainder.

1,5,7,13,19,35,65,91,95,133,247,455,665,1235,1729,8645

Greatest Common Factor

We found the factors 966,8645 . The biggest common factor number is the GCF number.
So the greatest common factor 966,8645 is 7.

Lets's calculate LCM of 426,493

Given numbers has no common factors except 1. So, there LCM is their product i.e 210018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/210018

Therefore, the GCF of Fractions 966/426,8645/493 is 7/210018

Least Common Multiple of 426,493 with GCF Formula

Least Common Multiple of 426,493 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 426,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,493) = 1

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

GCF(426,493) x common factors =1 x 1 = 1

LCM(426,493) = ( 426 × 493 ) / 1

LCM(426,493) = 210018 / 1

LCM(426,493) = 210018


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 966/426, 8645/493

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 966/426, 8645/493?

Answer: GCF of Numerators as per given numbers 966/426, 8645/493 is

GCF of Numerators i.e. for 966,8645 is 7

LCM of denominators i.e. for 426,493 is 210018.

Thus, GCF of Fractions is 7/210018.Finally, GCF of Fractions for 966/426, 8645/493 is 7/210018.