Greatest Common Factor of 592/178, 267/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 592/178, 267/226

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 592/178,267/226

Given fractions are 592/178,267/226

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 592,267

Greatest Common Factor of Numerators i.e. GCF of 592,267 is 1 .

LCM of Denominators means LCM of 178,226 as per the given fractions.

LCM of 178,226 is 20114 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 592,267

GCF of Fractions 592/178,267/226 is 1/20114

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

Greatest Common Factor of 592,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,267 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 592,267 . The biggest common factor number is the GCF number.
So the greatest common factor 592,267 is 1.

Lets's calculate LCM of 178,226

2 178, 226
89, 113

∴ So the LCM of the given numbers is 2 x 89 x 113 = 20114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20114

Therefore, the GCF of Fractions 592/178,267/226 is 1/20114

Least Common Multiple of 178,226 with GCF Formula

Least Common Multiple of 178,226 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 178,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,226) = 2

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

GCF(178,226) x common factors =2 x 1 = 2

LCM(178,226) = ( 178 × 226 ) / 2

LCM(178,226) = 40228 / 2

LCM(178,226) = 20114


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 592/178, 267/226

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 592/178, 267/226?

Answer: GCF of Numerators as per given numbers 592/178, 267/226 is

GCF of Numerators i.e. for 592,267 is 1

LCM of denominators i.e. for 178,226 is 20114.

Thus, GCF of Fractions is 1/20114.Finally, GCF of Fractions for 592/178, 267/226 is 1/20114.