Greatest Common Factor of 1356/784, 5628/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1356/784, 5628/280

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 1356/784,5628/280

Given fractions are 1356/784,5628/280

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 1356,5628

Greatest Common Factor of Numerators i.e. GCF of 1356,5628 is 12 .

LCM of Denominators means LCM of 784,280 as per the given fractions.

LCM of 784,280 is 3920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1356,5628

GCF of Fractions 1356/784,5628/280 is 12/3920

2 1356, 5628
2 678, 2814
3 339, 1407
113, 469

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 1356,5628 By Matching Biggest Common Factor Method

Greatest Common Factor of 1356,5628 By Matching Biggest Common Factor Method

Factors of 1356

List of positive integer factors of 1356 that divides 1356 without a remainder.

1,2,3,4,6,12,113,226,339,452,678,1356

Factors of 5628

List of positive integer factors of 5628 that divides 5628 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,67,84,134,201,268,402,469,804,938,1407,1876,2814,5628

Greatest Common Factor

We found the factors 1356,5628 . The biggest common factor number is the GCF number.
So the greatest common factor 1356,5628 is 12.

Lets's calculate LCM of 784,280

2 784, 280
2 392, 140
2 196, 70
7 98, 35
14, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 14 x 5 = 3920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3920

Therefore, the GCF of Fractions 1356/784,5628/280 is 12/3920

Least Common Multiple of 784,280 with GCF Formula

Least Common Multiple of 784,280 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 784,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,280) = 56

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

GCF(784,280) x common factors =56 x 1 = 56

LCM(784,280) = ( 784 × 280 ) / 56

LCM(784,280) = 219520 / 56

LCM(784,280) = 3920


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 1356/784, 5628/280

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 1356/784, 5628/280?

Answer: GCF of Numerators as per given numbers 1356/784, 5628/280 is

GCF of Numerators i.e. for 1356,5628 is 12

LCM of denominators i.e. for 784,280 is 3920.

Thus, GCF of Fractions is 12/3920.Finally, GCF of Fractions for 1356/784, 5628/280 is 12/3920.