Greatest Common Factor of 2/56, 29/75, 78/750, 680/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/56, 29/75, 78/750, 680/268

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 2/56,29/75,78/750,680/268

Given fractions are 2/56,29/75,78/750,680/268

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 2,29,78,680

Greatest Common Factor of Numerators i.e. GCF of 2,29,78,680 is 1 .

LCM of Denominators means LCM of 56,75,750,268 as per the given fractions.

LCM of 56,75,750,268 is 1407000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,29,78,680

GCF of Fractions 2/56,29/75,78/750,680/268 is 1/1407000

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

Greatest Common Factor of 2,29,78,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,29,78,680 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 2,29,78,680 . The biggest common factor number is the GCF number.
So the greatest common factor 2,29,78,680 is 1.

Lets's calculate LCM of 56,75,750,268

2 56, 75, 750, 268
2 28, 75, 375, 134
3 14, 75, 375, 67
5 14, 25, 125, 67
5 14, 5, 25, 67
14, 1, 5, 67

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 14 x 1 x 5 x 67 = 1407000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1407000

Therefore, the GCF of Fractions 2/56,29/75,78/750,680/268 is 1/1407000

Least Common Multiple of 56,75,750,268 with GCF Formula

Least Common Multiple of 56,75,750,268 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 56,75,750,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,75,750,268) = 1

common factors(in case of two or more numbers have common factors) = 600

GCF(56,75,750,268) x common factors =1 x 600 = 600

LCM(56,75,750,268) = ( 56 × 75 × 750 × 268 ) / 600

LCM(56,75,750,268) = 844200000 / 600

LCM(56,75,750,268) = 1407000


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 2/56, 29/75, 78/750, 680/268

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 2/56, 29/75, 78/750, 680/268?

Answer: GCF of Numerators as per given numbers 2/56, 29/75, 78/750, 680/268 is

GCF of Numerators i.e. for 2,29,78,680 is 1

LCM of denominators i.e. for 56,75,750,268 is 1407000.

Thus, GCF of Fractions is 1/1407000.Finally, GCF of Fractions for 2/56, 29/75, 78/750, 680/268 is 1/1407000.