Greatest Common Factor of 6/12, 52/28, 70/800, 418/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/12, 52/28, 70/800, 418/270

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 6/12,52/28,70/800,418/270

Given fractions are 6/12,52/28,70/800,418/270

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 6,52,70,418

Greatest Common Factor of Numerators i.e. GCF of 6,52,70,418 is 2 .

LCM of Denominators means LCM of 12,28,800,270 as per the given fractions.

LCM of 12,28,800,270 is 151200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,52,70,418

GCF of Fractions 6/12,52/28,70/800,418/270 is 2/151200

2 6, 52, 70, 418
3, 26, 35, 209

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

Greatest Common Factor of 6,52,70,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,52,70,418 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 6,52,70,418 . The biggest common factor number is the GCF number.
So the greatest common factor 6,52,70,418 is 2.

Lets's calculate LCM of 12,28,800,270

2 12, 28, 800, 270
2 6, 14, 400, 135
3 3, 7, 200, 135
5 1, 7, 200, 45
1, 7, 40, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 7 x 40 x 9 = 151200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/151200

Therefore, the GCF of Fractions 6/12,52/28,70/800,418/270 is 2/151200

Least Common Multiple of 12,28,800,270 with GCF Formula

Least Common Multiple of 12,28,800,270 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 12,28,800,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,28,800,270) = 2

common factors(in case of two or more numbers have common factors) = 240

GCF(12,28,800,270) x common factors =2 x 240 = 480

LCM(12,28,800,270) = ( 12 × 28 × 800 × 270 ) / 480

LCM(12,28,800,270) = 72576000 / 480

LCM(12,28,800,270) = 151200


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 6/12, 52/28, 70/800, 418/270

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 6/12, 52/28, 70/800, 418/270?

Answer: GCF of Numerators as per given numbers 6/12, 52/28, 70/800, 418/270 is

GCF of Numerators i.e. for 6,52,70,418 is 2

LCM of denominators i.e. for 12,28,800,270 is 151200.

Thus, GCF of Fractions is 2/151200.Finally, GCF of Fractions for 6/12, 52/28, 70/800, 418/270 is 2/151200.