Greatest Common Factor of 2/12, 28/85, 95/317, 376/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/12, 28/85, 95/317, 376/402

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 2/12,28/85,95/317,376/402

Given fractions are 2/12,28/85,95/317,376/402

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 2,28,95,376

Greatest Common Factor of Numerators i.e. GCF of 2,28,95,376 is 1 .

LCM of Denominators means LCM of 12,85,317,402 as per the given fractions.

LCM of 12,85,317,402 is 21663780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,28,95,376

GCF of Fractions 2/12,28/85,95/317,376/402 is 1/21663780

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

Greatest Common Factor of 2,28,95,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,28,95,376 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 2,28,95,376 . The biggest common factor number is the GCF number.
So the greatest common factor 2,28,95,376 is 1.

Lets's calculate LCM of 12,85,317,402

2 12, 85, 317, 402
3 6, 85, 317, 201
2, 85, 317, 67

∴ So the LCM of the given numbers is 2 x 3 x 2 x 85 x 317 x 67 = 21663780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21663780

Therefore, the GCF of Fractions 2/12,28/85,95/317,376/402 is 1/21663780

Least Common Multiple of 12,85,317,402 with GCF Formula

Least Common Multiple of 12,85,317,402 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 12,85,317,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,85,317,402) = 1

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

GCF(12,85,317,402) x common factors =1 x 6 = 6

LCM(12,85,317,402) = ( 12 × 85 × 317 × 402 ) / 6

LCM(12,85,317,402) = 129982680 / 6

LCM(12,85,317,402) = 21663780


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 2/12, 28/85, 95/317, 376/402

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 2/12, 28/85, 95/317, 376/402?

Answer: GCF of Numerators as per given numbers 2/12, 28/85, 95/317, 376/402 is

GCF of Numerators i.e. for 2,28,95,376 is 1

LCM of denominators i.e. for 12,85,317,402 is 21663780.

Thus, GCF of Fractions is 1/21663780.Finally, GCF of Fractions for 2/12, 28/85, 95/317, 376/402 is 1/21663780.