Greatest Common Factor of 916/92, 617/98, 216/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 916/92, 617/98, 216/226

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 916/92,617/98,216/226

Given fractions are 916/92,617/98,216/226

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 916,617,216

Greatest Common Factor of Numerators i.e. GCF of 916,617,216 is 1 .

LCM of Denominators means LCM of 92,98,226 as per the given fractions.

LCM of 92,98,226 is 509404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 916,617,216

GCF of Fractions 916/92,617/98,216/226 is 1/509404

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

Greatest Common Factor of 916,617,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,617,216 By Matching Biggest Common Factor Method

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 916,617,216 . The biggest common factor number is the GCF number.
So the greatest common factor 916,617,216 is 1.

Lets's calculate LCM of 92,98,226

2 92, 98, 226
46, 49, 113

∴ So the LCM of the given numbers is 2 x 46 x 49 x 113 = 509404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/509404

Therefore, the GCF of Fractions 916/92,617/98,216/226 is 1/509404

Least Common Multiple of 92,98,226 with GCF Formula

Least Common Multiple of 92,98,226 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 92,98,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,98,226) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(92,98,226) x common factors =2 x 2 = 4

LCM(92,98,226) = ( 92 × 98 × 226 ) / 4

LCM(92,98,226) = 2037616 / 4

LCM(92,98,226) = 509404


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 916/92, 617/98, 216/226

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 916/92, 617/98, 216/226?

Answer: GCF of Numerators as per given numbers 916/92, 617/98, 216/226 is

GCF of Numerators i.e. for 916,617,216 is 1

LCM of denominators i.e. for 92,98,226 is 509404.

Thus, GCF of Fractions is 1/509404.Finally, GCF of Fractions for 916/92, 617/98, 216/226 is 1/509404.