Greatest Common Factor of 7633/901, 6781/4790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7633/901, 6781/4790

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 7633/901,6781/4790

Given fractions are 7633/901,6781/4790

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 7633,6781

Greatest Common Factor of Numerators i.e. GCF of 7633,6781 is 1 .

LCM of Denominators means LCM of 901,4790 as per the given fractions.

LCM of 901,4790 is 4315790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7633,6781

GCF of Fractions 7633/901,6781/4790 is 1/4315790

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

Greatest Common Factor of 7633,6781 By Matching Biggest Common Factor Method

Greatest Common Factor of 7633,6781 By Matching Biggest Common Factor Method

Factors of 7633

List of positive integer factors of 7633 that divides 7633 without a remainder.

1,17,449,7633

Factors of 6781

List of positive integer factors of 6781 that divides 6781 without a remainder.

1,6781

Greatest Common Factor

We found the factors 7633,6781 . The biggest common factor number is the GCF number.
So the greatest common factor 7633,6781 is 1.

Lets's calculate LCM of 901,4790

Given numbers has no common factors except 1. So, there LCM is their product i.e 4315790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4315790

Therefore, the GCF of Fractions 7633/901,6781/4790 is 1/4315790

Least Common Multiple of 901,4790 with GCF Formula

Least Common Multiple of 901,4790 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 901,4790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,4790) = 1

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

GCF(901,4790) x common factors =1 x 1 = 1

LCM(901,4790) = ( 901 × 4790 ) / 1

LCM(901,4790) = 4315790 / 1

LCM(901,4790) = 4315790


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 7633/901, 6781/4790

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 7633/901, 6781/4790?

Answer: GCF of Numerators as per given numbers 7633/901, 6781/4790 is

GCF of Numerators i.e. for 7633,6781 is 1

LCM of denominators i.e. for 901,4790 is 4315790.

Thus, GCF of Fractions is 1/4315790.Finally, GCF of Fractions for 7633/901, 6781/4790 is 1/4315790.