Greatest Common Factor of 971/140, 6509/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 971/140, 6509/750

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 971/140,6509/750

Given fractions are 971/140,6509/750

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 971,6509

Greatest Common Factor of Numerators i.e. GCF of 971,6509 is 1 .

LCM of Denominators means LCM of 140,750 as per the given fractions.

LCM of 140,750 is 10500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 971,6509

GCF of Fractions 971/140,6509/750 is 1/10500

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

Greatest Common Factor of 971,6509 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,6509 By Matching Biggest Common Factor Method

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 6509

List of positive integer factors of 6509 that divides 6509 without a remainder.

1,23,283,6509

Greatest Common Factor

We found the factors 971,6509 . The biggest common factor number is the GCF number.
So the greatest common factor 971,6509 is 1.

Lets's calculate LCM of 140,750

2 140, 750
5 70, 375
14, 75

∴ So the LCM of the given numbers is 2 x 5 x 14 x 75 = 10500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10500

Therefore, the GCF of Fractions 971/140,6509/750 is 1/10500

Least Common Multiple of 140,750 with GCF Formula

Least Common Multiple of 140,750 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 140,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,750) = 10

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

GCF(140,750) x common factors =10 x 1 = 10

LCM(140,750) = ( 140 × 750 ) / 10

LCM(140,750) = 105000 / 10

LCM(140,750) = 10500


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 971/140, 6509/750

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 971/140, 6509/750?

Answer: GCF of Numerators as per given numbers 971/140, 6509/750 is

GCF of Numerators i.e. for 971,6509 is 1

LCM of denominators i.e. for 140,750 is 10500.

Thus, GCF of Fractions is 1/10500.Finally, GCF of Fractions for 971/140, 6509/750 is 1/10500.