Greatest Common Factor of 971/281, 1170/7097

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 971/281, 1170/7097

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 971/281,1170/7097

Given fractions are 971/281,1170/7097

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 971,1170

Greatest Common Factor of Numerators i.e. GCF of 971,1170 is 1 .

LCM of Denominators means LCM of 281,7097 as per the given fractions.

LCM of 281,7097 is 1994257 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 971,1170

GCF of Fractions 971/281,1170/7097 is 1/1994257

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

Greatest Common Factor of 971,1170 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,1170 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 1170

List of positive integer factors of 1170 that divides 1170 without a remainder.

1,2,3,5,6,9,10,13,15,18,26,30,39,45,65,78,90,117,130,195,234,390,585,1170

Greatest Common Factor

We found the factors 971,1170 . The biggest common factor number is the GCF number.
So the greatest common factor 971,1170 is 1.

Lets's calculate LCM of 281,7097

Given numbers has no common factors except 1. So, there LCM is their product i.e 1994257

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1994257

Therefore, the GCF of Fractions 971/281,1170/7097 is 1/1994257

Least Common Multiple of 281,7097 with GCF Formula

Least Common Multiple of 281,7097 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 281,7097 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,7097) = 1

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

GCF(281,7097) x common factors =1 x 1 = 1

LCM(281,7097) = ( 281 × 7097 ) / 1

LCM(281,7097) = 1994257 / 1

LCM(281,7097) = 1994257


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 971/281, 1170/7097

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 971/281, 1170/7097?

Answer: GCF of Numerators as per given numbers 971/281, 1170/7097 is

GCF of Numerators i.e. for 971,1170 is 1

LCM of denominators i.e. for 281,7097 is 1994257.

Thus, GCF of Fractions is 1/1994257.Finally, GCF of Fractions for 971/281, 1170/7097 is 1/1994257.