Greatest Common Factor of 44/86, 680/89, 173/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/86, 680/89, 173/917

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 44/86,680/89,173/917

Given fractions are 44/86,680/89,173/917

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 44,680,173

Greatest Common Factor of Numerators i.e. GCF of 44,680,173 is 1 .

LCM of Denominators means LCM of 86,89,917 as per the given fractions.

LCM of 86,89,917 is 7018718 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,680,173

GCF of Fractions 44/86,680/89,173/917 is 1/7018718

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

Greatest Common Factor of 44,680,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,680,173 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Greatest Common Factor

We found the factors 44,680,173 . The biggest common factor number is the GCF number.
So the greatest common factor 44,680,173 is 1.

Lets's calculate LCM of 86,89,917

Given numbers has no common factors except 1. So, there LCM is their product i.e 7018718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7018718

Therefore, the GCF of Fractions 44/86,680/89,173/917 is 1/7018718

Least Common Multiple of 86,89,917 with GCF Formula

Least Common Multiple of 86,89,917 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 86,89,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,89,917) = 1

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

GCF(86,89,917) x common factors =1 x 1 = 1

LCM(86,89,917) = ( 86 × 89 × 917 ) / 1

LCM(86,89,917) = 7018718 / 1

LCM(86,89,917) = 7018718


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 44/86, 680/89, 173/917

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 44/86, 680/89, 173/917?

Answer: GCF of Numerators as per given numbers 44/86, 680/89, 173/917 is

GCF of Numerators i.e. for 44,680,173 is 1

LCM of denominators i.e. for 86,89,917 is 7018718.

Thus, GCF of Fractions is 1/7018718.Finally, GCF of Fractions for 44/86, 680/89, 173/917 is 1/7018718.