Greatest Common Factor of 226/90, 242/67, 768/32

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 226/90, 242/67, 768/32

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 226/90,242/67,768/32

Given fractions are 226/90,242/67,768/32

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 226,242,768

Greatest Common Factor of Numerators i.e. GCF of 226,242,768 is 2 .

LCM of Denominators means LCM of 90,67,32 as per the given fractions.

LCM of 90,67,32 is 96480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 226,242,768

GCF of Fractions 226/90,242/67,768/32 is 2/96480

2 226, 242, 768
113, 121, 384

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

Greatest Common Factor of 226,242,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,242,768 By Matching Biggest Common Factor Method

Factors of 226

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

1,2,113,226

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 226,242,768 . The biggest common factor number is the GCF number.
So the greatest common factor 226,242,768 is 2.

Lets's calculate LCM of 90,67,32

2 90, 67, 32
45, 67, 16

∴ So the LCM of the given numbers is 2 x 45 x 67 x 16 = 96480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/96480

Therefore, the GCF of Fractions 226/90,242/67,768/32 is 2/96480

Least Common Multiple of 90,67,32 with GCF Formula

Least Common Multiple of 90,67,32 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 90,67,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,67,32) = 1

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

GCF(90,67,32) x common factors =1 x 2 = 2

LCM(90,67,32) = ( 90 × 67 × 32 ) / 2

LCM(90,67,32) = 192960 / 2

LCM(90,67,32) = 96480


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 226/90, 242/67, 768/32

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 226/90, 242/67, 768/32?

Answer: GCF of Numerators as per given numbers 226/90, 242/67, 768/32 is

GCF of Numerators i.e. for 226,242,768 is 2

LCM of denominators i.e. for 90,67,32 is 96480.

Thus, GCF of Fractions is 2/96480.Finally, GCF of Fractions for 226/90, 242/67, 768/32 is 2/96480.