Greatest Common Factor of 893/472, 231/526, 493/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 893/472, 231/526, 493/169

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 893/472,231/526,493/169

Given fractions are 893/472,231/526,493/169

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 893,231,493

Greatest Common Factor of Numerators i.e. GCF of 893,231,493 is 1 .

LCM of Denominators means LCM of 472,526,169 as per the given fractions.

LCM of 472,526,169 is 20978984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 893,231,493

GCF of Fractions 893/472,231/526,493/169 is 1/20978984

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

Greatest Common Factor of 893,231,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,231,493 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 893,231,493 . The biggest common factor number is the GCF number.
So the greatest common factor 893,231,493 is 1.

Lets's calculate LCM of 472,526,169

2 472, 526, 169
236, 263, 169

∴ So the LCM of the given numbers is 2 x 236 x 263 x 169 = 20978984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20978984

Therefore, the GCF of Fractions 893/472,231/526,493/169 is 1/20978984

Least Common Multiple of 472,526,169 with GCF Formula

Least Common Multiple of 472,526,169 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 472,526,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,526,169) = 1

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

GCF(472,526,169) x common factors =1 x 2 = 2

LCM(472,526,169) = ( 472 × 526 × 169 ) / 2

LCM(472,526,169) = 41957968 / 2

LCM(472,526,169) = 20978984


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 893/472, 231/526, 493/169

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 893/472, 231/526, 493/169?

Answer: GCF of Numerators as per given numbers 893/472, 231/526, 493/169 is

GCF of Numerators i.e. for 893,231,493 is 1

LCM of denominators i.e. for 472,526,169 is 20978984.

Thus, GCF of Fractions is 1/20978984.Finally, GCF of Fractions for 893/472, 231/526, 493/169 is 1/20978984.