Greatest Common Factor of 6275/776, 2472/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6275/776, 2472/894

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 6275/776,2472/894

Given fractions are 6275/776,2472/894

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 6275,2472

Greatest Common Factor of Numerators i.e. GCF of 6275,2472 is 1 .

LCM of Denominators means LCM of 776,894 as per the given fractions.

LCM of 776,894 is 346872 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6275,2472

GCF of Fractions 6275/776,2472/894 is 1/346872

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

Greatest Common Factor of 6275,2472 By Matching Biggest Common Factor Method

Greatest Common Factor of 6275,2472 By Matching Biggest Common Factor Method

Factors of 6275

List of positive integer factors of 6275 that divides 6275 without a remainder.

1,5,25,251,1255,6275

Factors of 2472

List of positive integer factors of 2472 that divides 2472 without a remainder.

1,2,3,4,6,8,12,24,103,206,309,412,618,824,1236,2472

Greatest Common Factor

We found the factors 6275,2472 . The biggest common factor number is the GCF number.
So the greatest common factor 6275,2472 is 1.

Lets's calculate LCM of 776,894

2 776, 894
388, 447

∴ So the LCM of the given numbers is 2 x 388 x 447 = 346872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/346872

Therefore, the GCF of Fractions 6275/776,2472/894 is 1/346872

Least Common Multiple of 776,894 with GCF Formula

Least Common Multiple of 776,894 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 776,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(776,894) = 2

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

GCF(776,894) x common factors =2 x 1 = 2

LCM(776,894) = ( 776 × 894 ) / 2

LCM(776,894) = 693744 / 2

LCM(776,894) = 346872


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 6275/776, 2472/894

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 6275/776, 2472/894?

Answer: GCF of Numerators as per given numbers 6275/776, 2472/894 is

GCF of Numerators i.e. for 6275,2472 is 1

LCM of denominators i.e. for 776,894 is 346872.

Thus, GCF of Fractions is 1/346872.Finally, GCF of Fractions for 6275/776, 2472/894 is 1/346872.