Greatest Common Factor of 271/51, 700/68, 731/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 271/51, 700/68, 731/75

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 271/51,700/68,731/75

Given fractions are 271/51,700/68,731/75

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 271,700,731

Greatest Common Factor of Numerators i.e. GCF of 271,700,731 is 1 .

LCM of Denominators means LCM of 51,68,75 as per the given fractions.

LCM of 51,68,75 is 5100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 271,700,731

GCF of Fractions 271/51,700/68,731/75 is 1/5100

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

Greatest Common Factor of 271,700,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,700,731 By Matching Biggest Common Factor Method

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 271,700,731 . The biggest common factor number is the GCF number.
So the greatest common factor 271,700,731 is 1.

Lets's calculate LCM of 51,68,75

3 51, 68, 75
17 17, 68, 25
1, 4, 25

∴ So the LCM of the given numbers is 3 x 17 x 1 x 4 x 25 = 5100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5100

Therefore, the GCF of Fractions 271/51,700/68,731/75 is 1/5100

Least Common Multiple of 51,68,75 with GCF Formula

Least Common Multiple of 51,68,75 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 51,68,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,68,75) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(51,68,75) x common factors =1 x 51 = 51

LCM(51,68,75) = ( 51 × 68 × 75 ) / 51

LCM(51,68,75) = 260100 / 51

LCM(51,68,75) = 5100


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 271/51, 700/68, 731/75

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 271/51, 700/68, 731/75?

Answer: GCF of Numerators as per given numbers 271/51, 700/68, 731/75 is

GCF of Numerators i.e. for 271,700,731 is 1

LCM of denominators i.e. for 51,68,75 is 5100.

Thus, GCF of Fractions is 1/5100.Finally, GCF of Fractions for 271/51, 700/68, 731/75 is 1/5100.