Greatest Common Factor of 257/86, 164/90, 458/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 257/86, 164/90, 458/932

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 257/86,164/90,458/932

Given fractions are 257/86,164/90,458/932

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 257,164,458

Greatest Common Factor of Numerators i.e. GCF of 257,164,458 is 1 .

LCM of Denominators means LCM of 86,90,932 as per the given fractions.

LCM of 86,90,932 is 1803420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 257,164,458

GCF of Fractions 257/86,164/90,458/932 is 1/1803420

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

Greatest Common Factor of 257,164,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 257,164,458 By Matching Biggest Common Factor Method

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 257,164,458 . The biggest common factor number is the GCF number.
So the greatest common factor 257,164,458 is 1.

Lets's calculate LCM of 86,90,932

2 86, 90, 932
43, 45, 466

∴ So the LCM of the given numbers is 2 x 43 x 45 x 466 = 1803420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1803420

Therefore, the GCF of Fractions 257/86,164/90,458/932 is 1/1803420

Least Common Multiple of 86,90,932 with GCF Formula

Least Common Multiple of 86,90,932 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 86,90,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,90,932) = 2

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

GCF(86,90,932) x common factors =2 x 2 = 4

LCM(86,90,932) = ( 86 × 90 × 932 ) / 4

LCM(86,90,932) = 7213680 / 4

LCM(86,90,932) = 1803420


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 257/86, 164/90, 458/932

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 257/86, 164/90, 458/932?

Answer: GCF of Numerators as per given numbers 257/86, 164/90, 458/932 is

GCF of Numerators i.e. for 257,164,458 is 1

LCM of denominators i.e. for 86,90,932 is 1803420.

Thus, GCF of Fractions is 1/1803420.Finally, GCF of Fractions for 257/86, 164/90, 458/932 is 1/1803420.