Greatest Common Factor of 1078/56, 1426/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1078/56, 1426/869

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 1078/56,1426/869

Given fractions are 1078/56,1426/869

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 1078,1426

Greatest Common Factor of Numerators i.e. GCF of 1078,1426 is 2 .

LCM of Denominators means LCM of 56,869 as per the given fractions.

LCM of 56,869 is 48664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1078,1426

GCF of Fractions 1078/56,1426/869 is 2/48664

2 1078, 1426
539, 713

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

Greatest Common Factor of 1078,1426 By Matching Biggest Common Factor Method

Greatest Common Factor of 1078,1426 By Matching Biggest Common Factor Method

Factors of 1078

List of positive integer factors of 1078 that divides 1078 without a remainder.

1,2,7,11,14,22,49,77,98,154,539,1078

Factors of 1426

List of positive integer factors of 1426 that divides 1426 without a remainder.

1,2,23,31,46,62,713,1426

Greatest Common Factor

We found the factors 1078,1426 . The biggest common factor number is the GCF number.
So the greatest common factor 1078,1426 is 2.

Lets's calculate LCM of 56,869

Given numbers has no common factors except 1. So, there LCM is their product i.e 48664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/48664

Therefore, the GCF of Fractions 1078/56,1426/869 is 2/48664

Least Common Multiple of 56,869 with GCF Formula

Least Common Multiple of 56,869 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 56,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,869) = 1

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

GCF(56,869) x common factors =1 x 1 = 1

LCM(56,869) = ( 56 × 869 ) / 1

LCM(56,869) = 48664 / 1

LCM(56,869) = 48664


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 1078/56, 1426/869

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 1078/56, 1426/869?

Answer: GCF of Numerators as per given numbers 1078/56, 1426/869 is

GCF of Numerators i.e. for 1078,1426 is 2

LCM of denominators i.e. for 56,869 is 48664.

Thus, GCF of Fractions is 2/48664.Finally, GCF of Fractions for 1078/56, 1426/869 is 2/48664.