Greatest Common Factor of 2631/727, 7745/9505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2631/727, 7745/9505

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 2631/727,7745/9505

Given fractions are 2631/727,7745/9505

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 2631,7745

Greatest Common Factor of Numerators i.e. GCF of 2631,7745 is 1 .

LCM of Denominators means LCM of 727,9505 as per the given fractions.

LCM of 727,9505 is 6910135 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2631,7745

GCF of Fractions 2631/727,7745/9505 is 1/6910135

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

Greatest Common Factor of 2631,7745 By Matching Biggest Common Factor Method

Greatest Common Factor of 2631,7745 By Matching Biggest Common Factor Method

Factors of 2631

List of positive integer factors of 2631 that divides 2631 without a remainder.

1,3,877,2631

Factors of 7745

List of positive integer factors of 7745 that divides 7745 without a remainder.

1,5,1549,7745

Greatest Common Factor

We found the factors 2631,7745 . The biggest common factor number is the GCF number.
So the greatest common factor 2631,7745 is 1.

Lets's calculate LCM of 727,9505

Given numbers has no common factors except 1. So, there LCM is their product i.e 6910135

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6910135

Therefore, the GCF of Fractions 2631/727,7745/9505 is 1/6910135

Least Common Multiple of 727,9505 with GCF Formula

Least Common Multiple of 727,9505 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 727,9505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,9505) = 1

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

GCF(727,9505) x common factors =1 x 1 = 1

LCM(727,9505) = ( 727 × 9505 ) / 1

LCM(727,9505) = 6910135 / 1

LCM(727,9505) = 6910135


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 2631/727, 7745/9505

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 2631/727, 7745/9505?

Answer: GCF of Numerators as per given numbers 2631/727, 7745/9505 is

GCF of Numerators i.e. for 2631,7745 is 1

LCM of denominators i.e. for 727,9505 is 6910135.

Thus, GCF of Fractions is 1/6910135.Finally, GCF of Fractions for 2631/727, 7745/9505 is 1/6910135.