Greatest Common Factor of 544/77, 790/32, 166/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 544/77, 790/32, 166/938

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 544/77,790/32,166/938

Given fractions are 544/77,790/32,166/938

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 544,790,166

Greatest Common Factor of Numerators i.e. GCF of 544,790,166 is 2 .

LCM of Denominators means LCM of 77,32,938 as per the given fractions.

LCM of 77,32,938 is 165088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 544,790,166

GCF of Fractions 544/77,790/32,166/938 is 2/165088

2 544, 790, 166
272, 395, 83

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

Greatest Common Factor of 544,790,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,790,166 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 544,790,166 . The biggest common factor number is the GCF number.
So the greatest common factor 544,790,166 is 2.

Lets's calculate LCM of 77,32,938

2 77, 32, 938
7 77, 16, 469
11, 16, 67

∴ So the LCM of the given numbers is 2 x 7 x 11 x 16 x 67 = 165088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/165088

Therefore, the GCF of Fractions 544/77,790/32,166/938 is 2/165088

Least Common Multiple of 77,32,938 with GCF Formula

Least Common Multiple of 77,32,938 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 77,32,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,32,938) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(77,32,938) x common factors =1 x 14 = 14

LCM(77,32,938) = ( 77 × 32 × 938 ) / 14

LCM(77,32,938) = 2311232 / 14

LCM(77,32,938) = 165088


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 544/77, 790/32, 166/938

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 544/77, 790/32, 166/938?

Answer: GCF of Numerators as per given numbers 544/77, 790/32, 166/938 is

GCF of Numerators i.e. for 544,790,166 is 2

LCM of denominators i.e. for 77,32,938 is 165088.

Thus, GCF of Fractions is 2/165088.Finally, GCF of Fractions for 544/77, 790/32, 166/938 is 2/165088.