Greatest Common Factor of 820/527, 6974/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 820/527, 6974/408

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 820/527,6974/408

Given fractions are 820/527,6974/408

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 820,6974

Greatest Common Factor of Numerators i.e. GCF of 820,6974 is 2 .

LCM of Denominators means LCM of 527,408 as per the given fractions.

LCM of 527,408 is 12648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 820,6974

GCF of Fractions 820/527,6974/408 is 2/12648

2 820, 6974
410, 3487

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 820,6974 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,6974 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 6974

List of positive integer factors of 6974 that divides 6974 without a remainder.

1,2,11,22,317,634,3487,6974

Greatest Common Factor

We found the factors 820,6974 . The biggest common factor number is the GCF number.
So the greatest common factor 820,6974 is 2.

Lets's calculate LCM of 527,408

17 527, 408
31, 24

∴ So the LCM of the given numbers is 17 x 31 x 24 = 12648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12648

Therefore, the GCF of Fractions 820/527,6974/408 is 2/12648

Least Common Multiple of 527,408 with GCF Formula

Least Common Multiple of 527,408 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 527,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,408) = 17

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

GCF(527,408) x common factors =17 x 1 = 17

LCM(527,408) = ( 527 × 408 ) / 17

LCM(527,408) = 215016 / 17

LCM(527,408) = 12648


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 820/527, 6974/408

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 820/527, 6974/408?

Answer: GCF of Numerators as per given numbers 820/527, 6974/408 is

GCF of Numerators i.e. for 820,6974 is 2

LCM of denominators i.e. for 527,408 is 12648.

Thus, GCF of Fractions is 2/12648.Finally, GCF of Fractions for 820/527, 6974/408 is 2/12648.