Greatest Common Factor of 17/89, 47/41, 60/75, 91/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/89, 47/41, 60/75, 91/464

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 17/89,47/41,60/75,91/464

Given fractions are 17/89,47/41,60/75,91/464

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 17,47,60,91

Greatest Common Factor of Numerators i.e. GCF of 17,47,60,91 is 1 .

LCM of Denominators means LCM of 89,41,75,464 as per the given fractions.

LCM of 89,41,75,464 is 126985200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,47,60,91

GCF of Fractions 17/89,47/41,60/75,91/464 is 1/126985200

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

Greatest Common Factor of 17,47,60,91 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,47,60,91 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Greatest Common Factor

We found the factors 17,47,60,91 . The biggest common factor number is the GCF number.
So the greatest common factor 17,47,60,91 is 1.

Lets's calculate LCM of 89,41,75,464

Given numbers has no common factors except 1. So, there LCM is their product i.e 126985200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126985200

Therefore, the GCF of Fractions 17/89,47/41,60/75,91/464 is 1/126985200

Least Common Multiple of 89,41,75,464 with GCF Formula

Least Common Multiple of 89,41,75,464 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 89,41,75,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,41,75,464) = 1

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

GCF(89,41,75,464) x common factors =1 x 1 = 1

LCM(89,41,75,464) = ( 89 × 41 × 75 × 464 ) / 1

LCM(89,41,75,464) = 126985200 / 1

LCM(89,41,75,464) = 126985200


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 17/89, 47/41, 60/75, 91/464

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 17/89, 47/41, 60/75, 91/464?

Answer: GCF of Numerators as per given numbers 17/89, 47/41, 60/75, 91/464 is

GCF of Numerators i.e. for 17,47,60,91 is 1

LCM of denominators i.e. for 89,41,75,464 is 126985200.

Thus, GCF of Fractions is 1/126985200.Finally, GCF of Fractions for 17/89, 47/41, 60/75, 91/464 is 1/126985200.