Greatest Common Factor of 257/68, 168/72, 564/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 257/68, 168/72, 564/972

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 257/68,168/72,564/972

Given fractions are 257/68,168/72,564/972

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 257,168,564

Greatest Common Factor of Numerators i.e. GCF of 257,168,564 is 1 .

LCM of Denominators means LCM of 68,72,972 as per the given fractions.

LCM of 68,72,972 is 33048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 257,168,564

GCF of Fractions 257/68,168/72,564/972 is 1/33048

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

Greatest Common Factor of 257,168,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 257,168,564 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 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 257,168,564 . The biggest common factor number is the GCF number.
So the greatest common factor 257,168,564 is 1.

Lets's calculate LCM of 68,72,972

2 68, 72, 972
2 34, 36, 486
3 17, 18, 243
3 17, 6, 81
17, 2, 27

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 17 x 2 x 27 = 33048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33048

Therefore, the GCF of Fractions 257/68,168/72,564/972 is 1/33048

Least Common Multiple of 68,72,972 with GCF Formula

Least Common Multiple of 68,72,972 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 68,72,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,72,972) = 4

common factors(in case of two or more numbers have common factors) = 36

GCF(68,72,972) x common factors =4 x 36 = 144

LCM(68,72,972) = ( 68 × 72 × 972 ) / 144

LCM(68,72,972) = 4758912 / 144

LCM(68,72,972) = 33048


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 257/68, 168/72, 564/972

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 257/68, 168/72, 564/972?

Answer: GCF of Numerators as per given numbers 257/68, 168/72, 564/972 is

GCF of Numerators i.e. for 257,168,564 is 1

LCM of denominators i.e. for 68,72,972 is 33048.

Thus, GCF of Fractions is 1/33048.Finally, GCF of Fractions for 257/68, 168/72, 564/972 is 1/33048.