Greatest Common Factor of 8371/768, 1349/9780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8371/768, 1349/9780

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 8371/768,1349/9780

Given fractions are 8371/768,1349/9780

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 8371,1349

Greatest Common Factor of Numerators i.e. GCF of 8371,1349 is 1 .

LCM of Denominators means LCM of 768,9780 as per the given fractions.

LCM of 768,9780 is 625920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8371,1349

GCF of Fractions 8371/768,1349/9780 is 1/625920

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

Greatest Common Factor of 8371,1349 By Matching Biggest Common Factor Method

Greatest Common Factor of 8371,1349 By Matching Biggest Common Factor Method

Factors of 8371

List of positive integer factors of 8371 that divides 8371 without a remainder.

1,11,761,8371

Factors of 1349

List of positive integer factors of 1349 that divides 1349 without a remainder.

1,19,71,1349

Greatest Common Factor

We found the factors 8371,1349 . The biggest common factor number is the GCF number.
So the greatest common factor 8371,1349 is 1.

Lets's calculate LCM of 768,9780

2 768, 9780
2 384, 4890
3 192, 2445
64, 815

∴ So the LCM of the given numbers is 2 x 2 x 3 x 64 x 815 = 625920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/625920

Therefore, the GCF of Fractions 8371/768,1349/9780 is 1/625920

Least Common Multiple of 768,9780 with GCF Formula

Least Common Multiple of 768,9780 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 768,9780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,9780) = 12

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

GCF(768,9780) x common factors =12 x 1 = 12

LCM(768,9780) = ( 768 × 9780 ) / 12

LCM(768,9780) = 7511040 / 12

LCM(768,9780) = 625920


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 8371/768, 1349/9780

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 8371/768, 1349/9780?

Answer: GCF of Numerators as per given numbers 8371/768, 1349/9780 is

GCF of Numerators i.e. for 8371,1349 is 1

LCM of denominators i.e. for 768,9780 is 625920.

Thus, GCF of Fractions is 1/625920.Finally, GCF of Fractions for 8371/768, 1349/9780 is 1/625920.