Greatest Common Factor of 7821/383, 6162/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7821/383, 6162/913

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 7821/383,6162/913

Given fractions are 7821/383,6162/913

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 7821,6162

Greatest Common Factor of Numerators i.e. GCF of 7821,6162 is 237 .

LCM of Denominators means LCM of 383,913 as per the given fractions.

LCM of 383,913 is 349679 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7821,6162

GCF of Fractions 7821/383,6162/913 is 237/349679

3 7821, 6162
79 2607, 2054
33, 26

∴ So the GCF of the given numbers is 3 x 79 = 237

Greatest Common Factor of 7821,6162 By Matching Biggest Common Factor Method

Greatest Common Factor of 7821,6162 By Matching Biggest Common Factor Method

Factors of 7821

List of positive integer factors of 7821 that divides 7821 without a remainder.

1,3,9,11,33,79,99,237,711,869,2607,7821

Factors of 6162

List of positive integer factors of 6162 that divides 6162 without a remainder.

1,2,3,6,13,26,39,78,79,158,237,474,1027,2054,3081,6162

Greatest Common Factor

We found the factors 7821,6162 . The biggest common factor number is the GCF number.
So the greatest common factor 7821,6162 is 237.

Lets's calculate LCM of 383,913

Given numbers has no common factors except 1. So, there LCM is their product i.e 349679

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 237/349679

Therefore, the GCF of Fractions 7821/383,6162/913 is 237/349679

Least Common Multiple of 383,913 with GCF Formula

Least Common Multiple of 383,913 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 383,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,913) = 1

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

GCF(383,913) x common factors =1 x 1 = 1

LCM(383,913) = ( 383 × 913 ) / 1

LCM(383,913) = 349679 / 1

LCM(383,913) = 349679


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 7821/383, 6162/913

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 7821/383, 6162/913?

Answer: GCF of Numerators as per given numbers 7821/383, 6162/913 is

GCF of Numerators i.e. for 7821,6162 is 237

LCM of denominators i.e. for 383,913 is 349679.

Thus, GCF of Fractions is 237/349679.Finally, GCF of Fractions for 7821/383, 6162/913 is 237/349679.