Greatest Common Factor of 102/13, 226/98, 222/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 102/13, 226/98, 222/961

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 102/13,226/98,222/961

Given fractions are 102/13,226/98,222/961

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 102,226,222

Greatest Common Factor of Numerators i.e. GCF of 102,226,222 is 2 .

LCM of Denominators means LCM of 13,98,961 as per the given fractions.

LCM of 13,98,961 is 1224314 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 102,226,222

GCF of Fractions 102/13,226/98,222/961 is 2/1224314

2 102, 226, 222
51, 113, 111

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

Greatest Common Factor of 102,226,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,226,222 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 102,226,222 . The biggest common factor number is the GCF number.
So the greatest common factor 102,226,222 is 2.

Lets's calculate LCM of 13,98,961

Given numbers has no common factors except 1. So, there LCM is their product i.e 1224314

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1224314

Therefore, the GCF of Fractions 102/13,226/98,222/961 is 2/1224314

Least Common Multiple of 13,98,961 with GCF Formula

Least Common Multiple of 13,98,961 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 13,98,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,98,961) = 1

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

GCF(13,98,961) x common factors =1 x 1 = 1

LCM(13,98,961) = ( 13 × 98 × 961 ) / 1

LCM(13,98,961) = 1224314 / 1

LCM(13,98,961) = 1224314


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 102/13, 226/98, 222/961

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 102/13, 226/98, 222/961?

Answer: GCF of Numerators as per given numbers 102/13, 226/98, 222/961 is

GCF of Numerators i.e. for 102,226,222 is 2

LCM of denominators i.e. for 13,98,961 is 1224314.

Thus, GCF of Fractions is 2/1224314.Finally, GCF of Fractions for 102/13, 226/98, 222/961 is 2/1224314.