Greatest Common Factor of 6367/942, 9770/7834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6367/942, 9770/7834

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 6367/942,9770/7834

Given fractions are 6367/942,9770/7834

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 6367,9770

Greatest Common Factor of Numerators i.e. GCF of 6367,9770 is 1 .

LCM of Denominators means LCM of 942,7834 as per the given fractions.

LCM of 942,7834 is 3689814 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6367,9770

GCF of Fractions 6367/942,9770/7834 is 1/3689814

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

Greatest Common Factor of 6367,9770 By Matching Biggest Common Factor Method

Greatest Common Factor of 6367,9770 By Matching Biggest Common Factor Method

Factors of 6367

List of positive integer factors of 6367 that divides 6367 without a remainder.

1,6367

Factors of 9770

List of positive integer factors of 9770 that divides 9770 without a remainder.

1,2,5,10,977,1954,4885,9770

Greatest Common Factor

We found the factors 6367,9770 . The biggest common factor number is the GCF number.
So the greatest common factor 6367,9770 is 1.

Lets's calculate LCM of 942,7834

2 942, 7834
471, 3917

∴ So the LCM of the given numbers is 2 x 471 x 3917 = 3689814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3689814

Therefore, the GCF of Fractions 6367/942,9770/7834 is 1/3689814

Least Common Multiple of 942,7834 with GCF Formula

Least Common Multiple of 942,7834 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 942,7834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,7834) = 2

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

GCF(942,7834) x common factors =2 x 1 = 2

LCM(942,7834) = ( 942 × 7834 ) / 2

LCM(942,7834) = 7379628 / 2

LCM(942,7834) = 3689814


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 6367/942, 9770/7834

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 6367/942, 9770/7834?

Answer: GCF of Numerators as per given numbers 6367/942, 9770/7834 is

GCF of Numerators i.e. for 6367,9770 is 1

LCM of denominators i.e. for 942,7834 is 3689814.

Thus, GCF of Fractions is 1/3689814.Finally, GCF of Fractions for 6367/942, 9770/7834 is 1/3689814.