Greatest Common Factor of 2/79, 23/66, 71/576, 151/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/79, 23/66, 71/576, 151/675

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 2/79,23/66,71/576,151/675

Given fractions are 2/79,23/66,71/576,151/675

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 2,23,71,151

Greatest Common Factor of Numerators i.e. GCF of 2,23,71,151 is 1 .

LCM of Denominators means LCM of 79,66,576,675 as per the given fractions.

LCM of 79,66,576,675 is 37540800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,23,71,151

GCF of Fractions 2/79,23/66,71/576,151/675 is 1/37540800

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

Greatest Common Factor of 2,23,71,151 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,23,71,151 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 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Greatest Common Factor

We found the factors 2,23,71,151 . The biggest common factor number is the GCF number.
So the greatest common factor 2,23,71,151 is 1.

Lets's calculate LCM of 79,66,576,675

2 79, 66, 576, 675
3 79, 33, 288, 675
3 79, 11, 96, 225
79, 11, 32, 75

∴ So the LCM of the given numbers is 2 x 3 x 3 x 79 x 11 x 32 x 75 = 37540800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37540800

Therefore, the GCF of Fractions 2/79,23/66,71/576,151/675 is 1/37540800

Least Common Multiple of 79,66,576,675 with GCF Formula

Least Common Multiple of 79,66,576,675 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 79,66,576,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,66,576,675) = 1

common factors(in case of two or more numbers have common factors) = 54

GCF(79,66,576,675) x common factors =1 x 54 = 54

LCM(79,66,576,675) = ( 79 × 66 × 576 × 675 ) / 54

LCM(79,66,576,675) = 2027203200 / 54

LCM(79,66,576,675) = 37540800


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 2/79, 23/66, 71/576, 151/675

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 2/79, 23/66, 71/576, 151/675?

Answer: GCF of Numerators as per given numbers 2/79, 23/66, 71/576, 151/675 is

GCF of Numerators i.e. for 2,23,71,151 is 1

LCM of denominators i.e. for 79,66,576,675 is 37540800.

Thus, GCF of Fractions is 1/37540800.Finally, GCF of Fractions for 2/79, 23/66, 71/576, 151/675 is 1/37540800.