Greatest Common Factor of 1348/212, 3958/8028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1348/212, 3958/8028

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 1348/212,3958/8028

Given fractions are 1348/212,3958/8028

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 1348,3958

Greatest Common Factor of Numerators i.e. GCF of 1348,3958 is 2 .

LCM of Denominators means LCM of 212,8028 as per the given fractions.

LCM of 212,8028 is 425484 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1348,3958

GCF of Fractions 1348/212,3958/8028 is 2/425484

2 1348, 3958
674, 1979

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

Greatest Common Factor of 1348,3958 By Matching Biggest Common Factor Method

Greatest Common Factor of 1348,3958 By Matching Biggest Common Factor Method

Factors of 1348

List of positive integer factors of 1348 that divides 1348 without a remainder.

1,2,4,337,674,1348

Factors of 3958

List of positive integer factors of 3958 that divides 3958 without a remainder.

1,2,1979,3958

Greatest Common Factor

We found the factors 1348,3958 . The biggest common factor number is the GCF number.
So the greatest common factor 1348,3958 is 2.

Lets's calculate LCM of 212,8028

2 212, 8028
2 106, 4014
53, 2007

∴ So the LCM of the given numbers is 2 x 2 x 53 x 2007 = 425484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/425484

Therefore, the GCF of Fractions 1348/212,3958/8028 is 2/425484

Least Common Multiple of 212,8028 with GCF Formula

Least Common Multiple of 212,8028 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 212,8028 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,8028) = 4

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

GCF(212,8028) x common factors =4 x 1 = 4

LCM(212,8028) = ( 212 × 8028 ) / 4

LCM(212,8028) = 1701936 / 4

LCM(212,8028) = 425484


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 1348/212, 3958/8028

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 1348/212, 3958/8028?

Answer: GCF of Numerators as per given numbers 1348/212, 3958/8028 is

GCF of Numerators i.e. for 1348,3958 is 2

LCM of denominators i.e. for 212,8028 is 425484.

Thus, GCF of Fractions is 2/425484.Finally, GCF of Fractions for 1348/212, 3958/8028 is 2/425484.