Greatest Common Factor of 6390/21, 6472/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6390/21, 6472/974

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 6390/21,6472/974

Given fractions are 6390/21,6472/974

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 6390,6472

Greatest Common Factor of Numerators i.e. GCF of 6390,6472 is 2 .

LCM of Denominators means LCM of 21,974 as per the given fractions.

LCM of 21,974 is 20454 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6390,6472

GCF of Fractions 6390/21,6472/974 is 2/20454

2 6390, 6472
3195, 3236

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

Greatest Common Factor of 6390,6472 By Matching Biggest Common Factor Method

Greatest Common Factor of 6390,6472 By Matching Biggest Common Factor Method

Factors of 6390

List of positive integer factors of 6390 that divides 6390 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,71,90,142,213,355,426,639,710,1065,1278,2130,3195,6390

Factors of 6472

List of positive integer factors of 6472 that divides 6472 without a remainder.

1,2,4,8,809,1618,3236,6472

Greatest Common Factor

We found the factors 6390,6472 . The biggest common factor number is the GCF number.
So the greatest common factor 6390,6472 is 2.

Lets's calculate LCM of 21,974

Given numbers has no common factors except 1. So, there LCM is their product i.e 20454

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20454

Therefore, the GCF of Fractions 6390/21,6472/974 is 2/20454

Least Common Multiple of 21,974 with GCF Formula

Least Common Multiple of 21,974 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 21,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,974) = 1

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

GCF(21,974) x common factors =1 x 1 = 1

LCM(21,974) = ( 21 × 974 ) / 1

LCM(21,974) = 20454 / 1

LCM(21,974) = 20454


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 6390/21, 6472/974

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 6390/21, 6472/974?

Answer: GCF of Numerators as per given numbers 6390/21, 6472/974 is

GCF of Numerators i.e. for 6390,6472 is 2

LCM of denominators i.e. for 21,974 is 20454.

Thus, GCF of Fractions is 2/20454.Finally, GCF of Fractions for 6390/21, 6472/974 is 2/20454.