Greatest Common Factor of 971/26, 164/65, 111/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 971/26, 164/65, 111/210

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 971/26,164/65,111/210

Given fractions are 971/26,164/65,111/210

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 971,164,111

Greatest Common Factor of Numerators i.e. GCF of 971,164,111 is 1 .

LCM of Denominators means LCM of 26,65,210 as per the given fractions.

LCM of 26,65,210 is 2730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 971,164,111

GCF of Fractions 971/26,164/65,111/210 is 1/2730

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

Greatest Common Factor of 971,164,111 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,164,111 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 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Greatest Common Factor

We found the factors 971,164,111 . The biggest common factor number is the GCF number.
So the greatest common factor 971,164,111 is 1.

Lets's calculate LCM of 26,65,210

2 26, 65, 210
5 13, 65, 105
13 13, 13, 21
1, 1, 21

∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 1 x 21 = 2730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2730

Therefore, the GCF of Fractions 971/26,164/65,111/210 is 1/2730

Least Common Multiple of 26,65,210 with GCF Formula

Least Common Multiple of 26,65,210 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 26,65,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,65,210) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(26,65,210) x common factors =1 x 130 = 130

LCM(26,65,210) = ( 26 × 65 × 210 ) / 130

LCM(26,65,210) = 354900 / 130

LCM(26,65,210) = 2730


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 971/26, 164/65, 111/210

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 971/26, 164/65, 111/210?

Answer: GCF of Numerators as per given numbers 971/26, 164/65, 111/210 is

GCF of Numerators i.e. for 971,164,111 is 1

LCM of denominators i.e. for 26,65,210 is 2730.

Thus, GCF of Fractions is 1/2730.Finally, GCF of Fractions for 971/26, 164/65, 111/210 is 1/2730.