Greatest Common Factor of 9971/645, 7330/2750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9971/645, 7330/2750

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 9971/645,7330/2750

Given fractions are 9971/645,7330/2750

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 9971,7330

Greatest Common Factor of Numerators i.e. GCF of 9971,7330 is 1 .

LCM of Denominators means LCM of 645,2750 as per the given fractions.

LCM of 645,2750 is 354750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9971,7330

GCF of Fractions 9971/645,7330/2750 is 1/354750

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

Greatest Common Factor of 9971,7330 By Matching Biggest Common Factor Method

Greatest Common Factor of 9971,7330 By Matching Biggest Common Factor Method

Factors of 9971

List of positive integer factors of 9971 that divides 9971 without a remainder.

1,13,59,169,767,9971

Factors of 7330

List of positive integer factors of 7330 that divides 7330 without a remainder.

1,2,5,10,733,1466,3665,7330

Greatest Common Factor

We found the factors 9971,7330 . The biggest common factor number is the GCF number.
So the greatest common factor 9971,7330 is 1.

Lets's calculate LCM of 645,2750

5 645, 2750
129, 550

∴ So the LCM of the given numbers is 5 x 129 x 550 = 354750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/354750

Therefore, the GCF of Fractions 9971/645,7330/2750 is 1/354750

Least Common Multiple of 645,2750 with GCF Formula

Least Common Multiple of 645,2750 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 645,2750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,2750) = 5

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

GCF(645,2750) x common factors =5 x 1 = 5

LCM(645,2750) = ( 645 × 2750 ) / 5

LCM(645,2750) = 1773750 / 5

LCM(645,2750) = 354750


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 9971/645, 7330/2750

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 9971/645, 7330/2750?

Answer: GCF of Numerators as per given numbers 9971/645, 7330/2750 is

GCF of Numerators i.e. for 9971,7330 is 1

LCM of denominators i.e. for 645,2750 is 354750.

Thus, GCF of Fractions is 1/354750.Finally, GCF of Fractions for 9971/645, 7330/2750 is 1/354750.