Greatest Common Factor of 6875/61, 1400/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6875/61, 1400/896

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 6875/61,1400/896

Given fractions are 6875/61,1400/896

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 6875,1400

Greatest Common Factor of Numerators i.e. GCF of 6875,1400 is 25 .

LCM of Denominators means LCM of 61,896 as per the given fractions.

LCM of 61,896 is 54656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6875,1400

GCF of Fractions 6875/61,1400/896 is 25/54656

5 6875, 1400
5 1375, 280
275, 56

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 6875,1400 By Matching Biggest Common Factor Method

Greatest Common Factor of 6875,1400 By Matching Biggest Common Factor Method

Factors of 6875

List of positive integer factors of 6875 that divides 6875 without a remainder.

1,5,11,25,55,125,275,625,1375,6875

Factors of 1400

List of positive integer factors of 1400 that divides 1400 without a remainder.

1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,140,175,200,280,350,700,1400

Greatest Common Factor

We found the factors 6875,1400 . The biggest common factor number is the GCF number.
So the greatest common factor 6875,1400 is 25.

Lets's calculate LCM of 61,896

Given numbers has no common factors except 1. So, there LCM is their product i.e 54656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/54656

Therefore, the GCF of Fractions 6875/61,1400/896 is 25/54656

Least Common Multiple of 61,896 with GCF Formula

Least Common Multiple of 61,896 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 61,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,896) = 1

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

GCF(61,896) x common factors =1 x 1 = 1

LCM(61,896) = ( 61 × 896 ) / 1

LCM(61,896) = 54656 / 1

LCM(61,896) = 54656


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 6875/61, 1400/896

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 6875/61, 1400/896?

Answer: GCF of Numerators as per given numbers 6875/61, 1400/896 is

GCF of Numerators i.e. for 6875,1400 is 25

LCM of denominators i.e. for 61,896 is 54656.

Thus, GCF of Fractions is 25/54656.Finally, GCF of Fractions for 6875/61, 1400/896 is 25/54656.