Greatest Common Factor of 805/164, 721/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 805/164, 721/156

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 805/164,721/156

Given fractions are 805/164,721/156

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 805,721

Greatest Common Factor of Numerators i.e. GCF of 805,721 is 7 .

LCM of Denominators means LCM of 164,156 as per the given fractions.

LCM of 164,156 is 6396 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 805,721

GCF of Fractions 805/164,721/156 is 7/6396

7 805, 721
115, 103

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 805,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,721 By Matching Biggest Common Factor Method

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 805,721 . The biggest common factor number is the GCF number.
So the greatest common factor 805,721 is 7.

Lets's calculate LCM of 164,156

2 164, 156
2 82, 78
41, 39

∴ So the LCM of the given numbers is 2 x 2 x 41 x 39 = 6396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/6396

Therefore, the GCF of Fractions 805/164,721/156 is 7/6396

Least Common Multiple of 164,156 with GCF Formula

Least Common Multiple of 164,156 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 164,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,156) = 4

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

GCF(164,156) x common factors =4 x 1 = 4

LCM(164,156) = ( 164 × 156 ) / 4

LCM(164,156) = 25584 / 4

LCM(164,156) = 6396


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 805/164, 721/156

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 805/164, 721/156?

Answer: GCF of Numerators as per given numbers 805/164, 721/156 is

GCF of Numerators i.e. for 805,721 is 7

LCM of denominators i.e. for 164,156 is 6396.

Thus, GCF of Fractions is 7/6396.Finally, GCF of Fractions for 805/164, 721/156 is 7/6396.