Greatest Common Factor of 7036/878, 1278/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7036/878, 1278/426

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 7036/878,1278/426

Given fractions are 7036/878,1278/426

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 7036,1278

Greatest Common Factor of Numerators i.e. GCF of 7036,1278 is 2 .

LCM of Denominators means LCM of 878,426 as per the given fractions.

LCM of 878,426 is 187014 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7036,1278

GCF of Fractions 7036/878,1278/426 is 2/187014

2 7036, 1278
3518, 639

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

Greatest Common Factor of 7036,1278 By Matching Biggest Common Factor Method

Greatest Common Factor of 7036,1278 By Matching Biggest Common Factor Method

Factors of 7036

List of positive integer factors of 7036 that divides 7036 without a remainder.

1,2,4,1759,3518,7036

Factors of 1278

List of positive integer factors of 1278 that divides 1278 without a remainder.

1,2,3,6,9,18,71,142,213,426,639,1278

Greatest Common Factor

We found the factors 7036,1278 . The biggest common factor number is the GCF number.
So the greatest common factor 7036,1278 is 2.

Lets's calculate LCM of 878,426

2 878, 426
439, 213

∴ So the LCM of the given numbers is 2 x 439 x 213 = 187014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/187014

Therefore, the GCF of Fractions 7036/878,1278/426 is 2/187014

Least Common Multiple of 878,426 with GCF Formula

Least Common Multiple of 878,426 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 878,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,426) = 2

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

GCF(878,426) x common factors =2 x 1 = 2

LCM(878,426) = ( 878 × 426 ) / 2

LCM(878,426) = 374028 / 2

LCM(878,426) = 187014


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 7036/878, 1278/426

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 7036/878, 1278/426?

Answer: GCF of Numerators as per given numbers 7036/878, 1278/426 is

GCF of Numerators i.e. for 7036,1278 is 2

LCM of denominators i.e. for 878,426 is 187014.

Thus, GCF of Fractions is 2/187014.Finally, GCF of Fractions for 7036/878, 1278/426 is 2/187014.