Greatest Common Factor of 6812/649, 4946/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6812/649, 4946/978

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 6812/649,4946/978

Given fractions are 6812/649,4946/978

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 6812,4946

Greatest Common Factor of Numerators i.e. GCF of 6812,4946 is 2 .

LCM of Denominators means LCM of 649,978 as per the given fractions.

LCM of 649,978 is 634722 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6812,4946

GCF of Fractions 6812/649,4946/978 is 2/634722

2 6812, 4946
3406, 2473

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

Greatest Common Factor of 6812,4946 By Matching Biggest Common Factor Method

Greatest Common Factor of 6812,4946 By Matching Biggest Common Factor Method

Factors of 6812

List of positive integer factors of 6812 that divides 6812 without a remainder.

1,2,4,13,26,52,131,262,524,1703,3406,6812

Factors of 4946

List of positive integer factors of 4946 that divides 4946 without a remainder.

1,2,2473,4946

Greatest Common Factor

We found the factors 6812,4946 . The biggest common factor number is the GCF number.
So the greatest common factor 6812,4946 is 2.

Lets's calculate LCM of 649,978

Given numbers has no common factors except 1. So, there LCM is their product i.e 634722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/634722

Therefore, the GCF of Fractions 6812/649,4946/978 is 2/634722

Least Common Multiple of 649,978 with GCF Formula

Least Common Multiple of 649,978 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 649,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,978) = 1

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

GCF(649,978) x common factors =1 x 1 = 1

LCM(649,978) = ( 649 × 978 ) / 1

LCM(649,978) = 634722 / 1

LCM(649,978) = 634722


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 6812/649, 4946/978

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 6812/649, 4946/978?

Answer: GCF of Numerators as per given numbers 6812/649, 4946/978 is

GCF of Numerators i.e. for 6812,4946 is 2

LCM of denominators i.e. for 649,978 is 634722.

Thus, GCF of Fractions is 2/634722.Finally, GCF of Fractions for 6812/649, 4946/978 is 2/634722.