Greatest Common Factor of 4781/988, 6735/8000

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4781/988, 6735/8000

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 4781/988,6735/8000

Given fractions are 4781/988,6735/8000

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 4781,6735

Greatest Common Factor of Numerators i.e. GCF of 4781,6735 is 1 .

LCM of Denominators means LCM of 988,8000 as per the given fractions.

LCM of 988,8000 is 1976000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4781,6735

GCF of Fractions 4781/988,6735/8000 is 1/1976000

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

Greatest Common Factor of 4781,6735 By Matching Biggest Common Factor Method

Greatest Common Factor of 4781,6735 By Matching Biggest Common Factor Method

Factors of 4781

List of positive integer factors of 4781 that divides 4781 without a remainder.

1,7,683,4781

Factors of 6735

List of positive integer factors of 6735 that divides 6735 without a remainder.

1,3,5,15,449,1347,2245,6735

Greatest Common Factor

We found the factors 4781,6735 . The biggest common factor number is the GCF number.
So the greatest common factor 4781,6735 is 1.

Lets's calculate LCM of 988,8000

2 988, 8000
2 494, 4000
247, 2000

∴ So the LCM of the given numbers is 2 x 2 x 247 x 2000 = 1976000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1976000

Therefore, the GCF of Fractions 4781/988,6735/8000 is 1/1976000

Least Common Multiple of 988,8000 with GCF Formula

Least Common Multiple of 988,8000 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 988,8000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,8000) = 4

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

GCF(988,8000) x common factors =4 x 1 = 4

LCM(988,8000) = ( 988 × 8000 ) / 4

LCM(988,8000) = 7904000 / 4

LCM(988,8000) = 1976000


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 4781/988, 6735/8000

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 4781/988, 6735/8000?

Answer: GCF of Numerators as per given numbers 4781/988, 6735/8000 is

GCF of Numerators i.e. for 4781,6735 is 1

LCM of denominators i.e. for 988,8000 is 1976000.

Thus, GCF of Fractions is 1/1976000.Finally, GCF of Fractions for 4781/988, 6735/8000 is 1/1976000.