Greatest Common Factor of 1913/427, 7896/9786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1913/427, 7896/9786

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 1913/427,7896/9786

Given fractions are 1913/427,7896/9786

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 1913,7896

Greatest Common Factor of Numerators i.e. GCF of 1913,7896 is 1 .

LCM of Denominators means LCM of 427,9786 as per the given fractions.

LCM of 427,9786 is 596946 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1913,7896

GCF of Fractions 1913/427,7896/9786 is 1/596946

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

Greatest Common Factor of 1913,7896 By Matching Biggest Common Factor Method

Greatest Common Factor of 1913,7896 By Matching Biggest Common Factor Method

Factors of 1913

List of positive integer factors of 1913 that divides 1913 without a remainder.

1,1913

Factors of 7896

List of positive integer factors of 7896 that divides 7896 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,47,56,84,94,141,168,188,282,329,376,564,658,987,1128,1316,1974,2632,3948,7896

Greatest Common Factor

We found the factors 1913,7896 . The biggest common factor number is the GCF number.
So the greatest common factor 1913,7896 is 1.

Lets's calculate LCM of 427,9786

7 427, 9786
61, 1398

∴ So the LCM of the given numbers is 7 x 61 x 1398 = 596946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/596946

Therefore, the GCF of Fractions 1913/427,7896/9786 is 1/596946

Least Common Multiple of 427,9786 with GCF Formula

Least Common Multiple of 427,9786 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 427,9786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,9786) = 7

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

GCF(427,9786) x common factors =7 x 1 = 7

LCM(427,9786) = ( 427 × 9786 ) / 7

LCM(427,9786) = 4178622 / 7

LCM(427,9786) = 596946


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 1913/427, 7896/9786

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 1913/427, 7896/9786?

Answer: GCF of Numerators as per given numbers 1913/427, 7896/9786 is

GCF of Numerators i.e. for 1913,7896 is 1

LCM of denominators i.e. for 427,9786 is 596946.

Thus, GCF of Fractions is 1/596946.Finally, GCF of Fractions for 1913/427, 7896/9786 is 1/596946.