Greatest Common Factor of 654/30, 600/51, 140/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 654/30, 600/51, 140/555

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 654/30,600/51,140/555

Given fractions are 654/30,600/51,140/555

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 654,600,140

Greatest Common Factor of Numerators i.e. GCF of 654,600,140 is 2 .

LCM of Denominators means LCM of 30,51,555 as per the given fractions.

LCM of 30,51,555 is 18870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 654,600,140

GCF of Fractions 654/30,600/51,140/555 is 2/18870

2 654, 600, 140
327, 300, 70

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 654,600,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,600,140 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 654,600,140 . The biggest common factor number is the GCF number.
So the greatest common factor 654,600,140 is 2.

Lets's calculate LCM of 30,51,555

3 30, 51, 555
5 10, 17, 185
2, 17, 37

∴ So the LCM of the given numbers is 3 x 5 x 2 x 17 x 37 = 18870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18870

Therefore, the GCF of Fractions 654/30,600/51,140/555 is 2/18870

Least Common Multiple of 30,51,555 with GCF Formula

Least Common Multiple of 30,51,555 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 30,51,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,51,555) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(30,51,555) x common factors =3 x 15 = 45

LCM(30,51,555) = ( 30 × 51 × 555 ) / 45

LCM(30,51,555) = 849150 / 45

LCM(30,51,555) = 18870


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 654/30, 600/51, 140/555

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 654/30, 600/51, 140/555?

Answer: GCF of Numerators as per given numbers 654/30, 600/51, 140/555 is

GCF of Numerators i.e. for 654,600,140 is 2

LCM of denominators i.e. for 30,51,555 is 18870.

Thus, GCF of Fractions is 2/18870.Finally, GCF of Fractions for 654/30, 600/51, 140/555 is 2/18870.