Greatest Common Factor of 801/76, 162/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 801/76, 162/289

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 801/76,162/289

Given fractions are 801/76,162/289

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 801,162

Greatest Common Factor of Numerators i.e. GCF of 801,162 is 9 .

LCM of Denominators means LCM of 76,289 as per the given fractions.

LCM of 76,289 is 21964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 801,162

GCF of Fractions 801/76,162/289 is 9/21964

3 801, 162
3 267, 54
89, 18

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 801,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 801,162 By Matching Biggest Common Factor Method

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 801,162 . The biggest common factor number is the GCF number.
So the greatest common factor 801,162 is 9.

Lets's calculate LCM of 76,289

Given numbers has no common factors except 1. So, there LCM is their product i.e 21964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/21964

Therefore, the GCF of Fractions 801/76,162/289 is 9/21964

Least Common Multiple of 76,289 with GCF Formula

Least Common Multiple of 76,289 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 76,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,289) = 1

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

GCF(76,289) x common factors =1 x 1 = 1

LCM(76,289) = ( 76 × 289 ) / 1

LCM(76,289) = 21964 / 1

LCM(76,289) = 21964


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 801/76, 162/289

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 801/76, 162/289?

Answer: GCF of Numerators as per given numbers 801/76, 162/289 is

GCF of Numerators i.e. for 801,162 is 9

LCM of denominators i.e. for 76,289 is 21964.

Thus, GCF of Fractions is 9/21964.Finally, GCF of Fractions for 801/76, 162/289 is 9/21964.