Greatest Common Factor of 7642/311, 3226/4475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7642/311, 3226/4475

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 7642/311,3226/4475

Given fractions are 7642/311,3226/4475

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 7642,3226

Greatest Common Factor of Numerators i.e. GCF of 7642,3226 is 2 .

LCM of Denominators means LCM of 311,4475 as per the given fractions.

LCM of 311,4475 is 1391725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7642,3226

GCF of Fractions 7642/311,3226/4475 is 2/1391725

2 7642, 3226
3821, 1613

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

Greatest Common Factor of 7642,3226 By Matching Biggest Common Factor Method

Greatest Common Factor of 7642,3226 By Matching Biggest Common Factor Method

Factors of 7642

List of positive integer factors of 7642 that divides 7642 without a remainder.

1,2,3821,7642

Factors of 3226

List of positive integer factors of 3226 that divides 3226 without a remainder.

1,2,1613,3226

Greatest Common Factor

We found the factors 7642,3226 . The biggest common factor number is the GCF number.
So the greatest common factor 7642,3226 is 2.

Lets's calculate LCM of 311,4475

Given numbers has no common factors except 1. So, there LCM is their product i.e 1391725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1391725

Therefore, the GCF of Fractions 7642/311,3226/4475 is 2/1391725

Least Common Multiple of 311,4475 with GCF Formula

Least Common Multiple of 311,4475 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 311,4475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,4475) = 1

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

GCF(311,4475) x common factors =1 x 1 = 1

LCM(311,4475) = ( 311 × 4475 ) / 1

LCM(311,4475) = 1391725 / 1

LCM(311,4475) = 1391725


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 7642/311, 3226/4475

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 7642/311, 3226/4475?

Answer: GCF of Numerators as per given numbers 7642/311, 3226/4475 is

GCF of Numerators i.e. for 7642,3226 is 2

LCM of denominators i.e. for 311,4475 is 1391725.

Thus, GCF of Fractions is 2/1391725.Finally, GCF of Fractions for 7642/311, 3226/4475 is 2/1391725.