Greatest Common Factor of 5284/845, 6407/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5284/845, 6407/156

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 5284/845,6407/156

Given fractions are 5284/845,6407/156

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 5284,6407

Greatest Common Factor of Numerators i.e. GCF of 5284,6407 is 1 .

LCM of Denominators means LCM of 845,156 as per the given fractions.

LCM of 845,156 is 10140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5284,6407

GCF of Fractions 5284/845,6407/156 is 1/10140

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5284,6407 By Matching Biggest Common Factor Method

Greatest Common Factor of 5284,6407 By Matching Biggest Common Factor Method

Factors of 5284

List of positive integer factors of 5284 that divides 5284 without a remainder.

1,2,4,1321,2642,5284

Factors of 6407

List of positive integer factors of 6407 that divides 6407 without a remainder.

1,43,149,6407

Greatest Common Factor

We found the factors 5284,6407 . The biggest common factor number is the GCF number.
So the greatest common factor 5284,6407 is 1.

Lets's calculate LCM of 845,156

13 845, 156
65, 12

∴ So the LCM of the given numbers is 13 x 65 x 12 = 10140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10140

Therefore, the GCF of Fractions 5284/845,6407/156 is 1/10140

Least Common Multiple of 845,156 with GCF Formula

Least Common Multiple of 845,156 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 845,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(845,156) = 13

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

GCF(845,156) x common factors =13 x 1 = 13

LCM(845,156) = ( 845 × 156 ) / 13

LCM(845,156) = 131820 / 13

LCM(845,156) = 10140


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 5284/845, 6407/156

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 5284/845, 6407/156?

Answer: GCF of Numerators as per given numbers 5284/845, 6407/156 is

GCF of Numerators i.e. for 5284,6407 is 1

LCM of denominators i.e. for 845,156 is 10140.

Thus, GCF of Fractions is 1/10140.Finally, GCF of Fractions for 5284/845, 6407/156 is 1/10140.