Greatest Common Factor of 80/54, 64/54, 844/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/54, 64/54, 844/964

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 80/54,64/54,844/964

Given fractions are 80/54,64/54,844/964

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 80,64,844

Greatest Common Factor of Numerators i.e. GCF of 80,64,844 is 4 .

LCM of Denominators means LCM of 54,54,964 as per the given fractions.

LCM of 54,54,964 is 26028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,64,844

GCF of Fractions 80/54,64/54,844/964 is 4/26028

2 80, 64, 844
2 40, 32, 422
20, 16, 211

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 80,64,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,64,844 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 80,64,844 . The biggest common factor number is the GCF number.
So the greatest common factor 80,64,844 is 4.

Lets's calculate LCM of 54,54,964

2 54, 54, 964
3 27, 27, 482
3 9, 9, 482
3 3, 3, 482
1, 1, 482

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 1 x 482 = 26028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/26028

Therefore, the GCF of Fractions 80/54,64/54,844/964 is 4/26028

Least Common Multiple of 54,54,964 with GCF Formula

Least Common Multiple of 54,54,964 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 54,54,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,54,964) = 2

common factors(in case of two or more numbers have common factors) = 54

GCF(54,54,964) x common factors =2 x 54 = 108

LCM(54,54,964) = ( 54 × 54 × 964 ) / 108

LCM(54,54,964) = 2811024 / 108

LCM(54,54,964) = 26028


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 80/54, 64/54, 844/964

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 80/54, 64/54, 844/964?

Answer: GCF of Numerators as per given numbers 80/54, 64/54, 844/964 is

GCF of Numerators i.e. for 80,64,844 is 4

LCM of denominators i.e. for 54,54,964 is 26028.

Thus, GCF of Fractions is 4/26028.Finally, GCF of Fractions for 80/54, 64/54, 844/964 is 4/26028.