Greatest Common Factor of 5977/893, 6310/9776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5977/893, 6310/9776

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 5977/893,6310/9776

Given fractions are 5977/893,6310/9776

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 5977,6310

Greatest Common Factor of Numerators i.e. GCF of 5977,6310 is 1 .

LCM of Denominators means LCM of 893,9776 as per the given fractions.

LCM of 893,9776 is 185744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5977,6310

GCF of Fractions 5977/893,6310/9776 is 1/185744

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

Greatest Common Factor of 5977,6310 By Matching Biggest Common Factor Method

Greatest Common Factor of 5977,6310 By Matching Biggest Common Factor Method

Factors of 5977

List of positive integer factors of 5977 that divides 5977 without a remainder.

1,43,139,5977

Factors of 6310

List of positive integer factors of 6310 that divides 6310 without a remainder.

1,2,5,10,631,1262,3155,6310

Greatest Common Factor

We found the factors 5977,6310 . The biggest common factor number is the GCF number.
So the greatest common factor 5977,6310 is 1.

Lets's calculate LCM of 893,9776

47 893, 9776
19, 208

∴ So the LCM of the given numbers is 47 x 19 x 208 = 185744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185744

Therefore, the GCF of Fractions 5977/893,6310/9776 is 1/185744

Least Common Multiple of 893,9776 with GCF Formula

Least Common Multiple of 893,9776 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 893,9776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,9776) = 47

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

GCF(893,9776) x common factors =47 x 1 = 47

LCM(893,9776) = ( 893 × 9776 ) / 47

LCM(893,9776) = 8729968 / 47

LCM(893,9776) = 185744


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 5977/893, 6310/9776

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 5977/893, 6310/9776?

Answer: GCF of Numerators as per given numbers 5977/893, 6310/9776 is

GCF of Numerators i.e. for 5977,6310 is 1

LCM of denominators i.e. for 893,9776 is 185744.

Thus, GCF of Fractions is 1/185744.Finally, GCF of Fractions for 5977/893, 6310/9776 is 1/185744.