Greatest Common Factor of 32/79, 55/698, 286/541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 32/79, 55/698, 286/541

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 32/79,55/698,286/541

Given fractions are 32/79,55/698,286/541

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 32,55,286

Greatest Common Factor of Numerators i.e. GCF of 32,55,286 is 1 .

LCM of Denominators means LCM of 79,698,541 as per the given fractions.

LCM of 79,698,541 is 29831822 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 32,55,286

GCF of Fractions 32/79,55/698,286/541 is 1/29831822

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

Greatest Common Factor of 32,55,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,55,286 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 32,55,286 . The biggest common factor number is the GCF number.
So the greatest common factor 32,55,286 is 1.

Lets's calculate LCM of 79,698,541

Given numbers has no common factors except 1. So, there LCM is their product i.e 29831822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29831822

Therefore, the GCF of Fractions 32/79,55/698,286/541 is 1/29831822

Least Common Multiple of 79,698,541 with GCF Formula

Least Common Multiple of 79,698,541 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 79,698,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,698,541) = 1

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

GCF(79,698,541) x common factors =1 x 1 = 1

LCM(79,698,541) = ( 79 × 698 × 541 ) / 1

LCM(79,698,541) = 29831822 / 1

LCM(79,698,541) = 29831822


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 32/79, 55/698, 286/541

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 32/79, 55/698, 286/541?

Answer: GCF of Numerators as per given numbers 32/79, 55/698, 286/541 is

GCF of Numerators i.e. for 32,55,286 is 1

LCM of denominators i.e. for 79,698,541 is 29831822.

Thus, GCF of Fractions is 1/29831822.Finally, GCF of Fractions for 32/79, 55/698, 286/541 is 1/29831822.