Greatest Common Factor of 597/51, 292/42, 711/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 597/51, 292/42, 711/114

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 597/51,292/42,711/114

Given fractions are 597/51,292/42,711/114

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 597,292,711

Greatest Common Factor of Numerators i.e. GCF of 597,292,711 is 1 .

LCM of Denominators means LCM of 51,42,114 as per the given fractions.

LCM of 51,42,114 is 13566 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 597,292,711

GCF of Fractions 597/51,292/42,711/114 is 1/13566

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

Greatest Common Factor of 597,292,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 597,292,711 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 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 597,292,711 . The biggest common factor number is the GCF number.
So the greatest common factor 597,292,711 is 1.

Lets's calculate LCM of 51,42,114

2 51, 42, 114
3 51, 21, 57
17, 7, 19

∴ So the LCM of the given numbers is 2 x 3 x 17 x 7 x 19 = 13566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13566

Therefore, the GCF of Fractions 597/51,292/42,711/114 is 1/13566

Least Common Multiple of 51,42,114 with GCF Formula

Least Common Multiple of 51,42,114 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 51,42,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,42,114) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(51,42,114) x common factors =3 x 6 = 18

LCM(51,42,114) = ( 51 × 42 × 114 ) / 18

LCM(51,42,114) = 244188 / 18

LCM(51,42,114) = 13566


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 597/51, 292/42, 711/114

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 597/51, 292/42, 711/114?

Answer: GCF of Numerators as per given numbers 597/51, 292/42, 711/114 is

GCF of Numerators i.e. for 597,292,711 is 1

LCM of denominators i.e. for 51,42,114 is 13566.

Thus, GCF of Fractions is 1/13566.Finally, GCF of Fractions for 597/51, 292/42, 711/114 is 1/13566.