Greatest Common Factor of 890/226, 1173/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 890/226, 1173/466

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 890/226,1173/466

Given fractions are 890/226,1173/466

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 890,1173

Greatest Common Factor of Numerators i.e. GCF of 890,1173 is 1 .

LCM of Denominators means LCM of 226,466 as per the given fractions.

LCM of 226,466 is 52658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 890,1173

GCF of Fractions 890/226,1173/466 is 1/52658

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

Greatest Common Factor of 890,1173 By Matching Biggest Common Factor Method

Greatest Common Factor of 890,1173 By Matching Biggest Common Factor Method

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 1173

List of positive integer factors of 1173 that divides 1173 without a remainder.

1,3,17,23,51,69,391,1173

Greatest Common Factor

We found the factors 890,1173 . The biggest common factor number is the GCF number.
So the greatest common factor 890,1173 is 1.

Lets's calculate LCM of 226,466

2 226, 466
113, 233

∴ So the LCM of the given numbers is 2 x 113 x 233 = 52658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52658

Therefore, the GCF of Fractions 890/226,1173/466 is 1/52658

Least Common Multiple of 226,466 with GCF Formula

Least Common Multiple of 226,466 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 226,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(226,466) = 2

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

GCF(226,466) x common factors =2 x 1 = 2

LCM(226,466) = ( 226 × 466 ) / 2

LCM(226,466) = 105316 / 2

LCM(226,466) = 52658


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 890/226, 1173/466

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 890/226, 1173/466?

Answer: GCF of Numerators as per given numbers 890/226, 1173/466 is

GCF of Numerators i.e. for 890,1173 is 1

LCM of denominators i.e. for 226,466 is 52658.

Thus, GCF of Fractions is 1/52658.Finally, GCF of Fractions for 890/226, 1173/466 is 1/52658.