Greatest Common Factor of 4316/123, 4866/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4316/123, 4866/631

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 4316/123,4866/631

Given fractions are 4316/123,4866/631

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 4316,4866

Greatest Common Factor of Numerators i.e. GCF of 4316,4866 is 2 .

LCM of Denominators means LCM of 123,631 as per the given fractions.

LCM of 123,631 is 77613 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4316,4866

GCF of Fractions 4316/123,4866/631 is 2/77613

2 4316, 4866
2158, 2433

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4316,4866 By Matching Biggest Common Factor Method

Greatest Common Factor of 4316,4866 By Matching Biggest Common Factor Method

Factors of 4316

List of positive integer factors of 4316 that divides 4316 without a remainder.

1,2,4,13,26,52,83,166,332,1079,2158,4316

Factors of 4866

List of positive integer factors of 4866 that divides 4866 without a remainder.

1,2,3,6,811,1622,2433,4866

Greatest Common Factor

We found the factors 4316,4866 . The biggest common factor number is the GCF number.
So the greatest common factor 4316,4866 is 2.

Lets's calculate LCM of 123,631

Given numbers has no common factors except 1. So, there LCM is their product i.e 77613

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/77613

Therefore, the GCF of Fractions 4316/123,4866/631 is 2/77613

Least Common Multiple of 123,631 with GCF Formula

Least Common Multiple of 123,631 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 123,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,631) = 1

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

GCF(123,631) x common factors =1 x 1 = 1

LCM(123,631) = ( 123 × 631 ) / 1

LCM(123,631) = 77613 / 1

LCM(123,631) = 77613


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 4316/123, 4866/631

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 4316/123, 4866/631?

Answer: GCF of Numerators as per given numbers 4316/123, 4866/631 is

GCF of Numerators i.e. for 4316,4866 is 2

LCM of denominators i.e. for 123,631 is 77613.

Thus, GCF of Fractions is 2/77613.Finally, GCF of Fractions for 4316/123, 4866/631 is 2/77613.