Greatest Common Factor of 597/18, 291/42, 468/77

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 597/18, 291/42, 468/77

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 597/18,291/42,468/77

Given fractions are 597/18,291/42,468/77

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 597,291,468

Greatest Common Factor of Numerators i.e. GCF of 597,291,468 is 3 .

LCM of Denominators means LCM of 18,42,77 as per the given fractions.

LCM of 18,42,77 is 1386 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 597,291,468

GCF of Fractions 597/18,291/42,468/77 is 3/1386

3 597, 291, 468
199, 97, 156

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 597,291,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 597,291,468 By Matching Biggest Common Factor Method

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 597,291,468 . The biggest common factor number is the GCF number.
So the greatest common factor 597,291,468 is 3.

Lets's calculate LCM of 18,42,77

2 18, 42, 77
3 9, 21, 77
7 3, 7, 77
3, 1, 11

∴ So the LCM of the given numbers is 2 x 3 x 7 x 3 x 1 x 11 = 1386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1386

Therefore, the GCF of Fractions 597/18,291/42,468/77 is 3/1386

Least Common Multiple of 18,42,77 with GCF Formula

Least Common Multiple of 18,42,77 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 18,42,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,42,77) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(18,42,77) x common factors =1 x 42 = 42

LCM(18,42,77) = ( 18 × 42 × 77 ) / 42

LCM(18,42,77) = 58212 / 42

LCM(18,42,77) = 1386


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 597/18, 291/42, 468/77

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 597/18, 291/42, 468/77?

Answer: GCF of Numerators as per given numbers 597/18, 291/42, 468/77 is

GCF of Numerators i.e. for 597,291,468 is 3

LCM of denominators i.e. for 18,42,77 is 1386.

Thus, GCF of Fractions is 3/1386.Finally, GCF of Fractions for 597/18, 291/42, 468/77 is 3/1386.