Greatest Common Factor of 3/28, 20/46, 76/276, 188/601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/28, 20/46, 76/276, 188/601

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 3/28,20/46,76/276,188/601

Given fractions are 3/28,20/46,76/276,188/601

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 3,20,76,188

Greatest Common Factor of Numerators i.e. GCF of 3,20,76,188 is 1 .

LCM of Denominators means LCM of 28,46,276,601 as per the given fractions.

LCM of 28,46,276,601 is 1161132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,20,76,188

GCF of Fractions 3/28,20/46,76/276,188/601 is 1/1161132

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

Greatest Common Factor of 3,20,76,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,20,76,188 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 3,20,76,188 . The biggest common factor number is the GCF number.
So the greatest common factor 3,20,76,188 is 1.

Lets's calculate LCM of 28,46,276,601

2 28, 46, 276, 601
2 14, 23, 138, 601
23 7, 23, 69, 601
7, 1, 3, 601

∴ So the LCM of the given numbers is 2 x 2 x 23 x 7 x 1 x 3 x 601 = 1161132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1161132

Therefore, the GCF of Fractions 3/28,20/46,76/276,188/601 is 1/1161132

Least Common Multiple of 28,46,276,601 with GCF Formula

Least Common Multiple of 28,46,276,601 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 28,46,276,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,46,276,601) = 1

common factors(in case of two or more numbers have common factors) = 184

GCF(28,46,276,601) x common factors =1 x 184 = 184

LCM(28,46,276,601) = ( 28 × 46 × 276 × 601 ) / 184

LCM(28,46,276,601) = 213648288 / 184

LCM(28,46,276,601) = 1161132


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 3/28, 20/46, 76/276, 188/601

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 3/28, 20/46, 76/276, 188/601?

Answer: GCF of Numerators as per given numbers 3/28, 20/46, 76/276, 188/601 is

GCF of Numerators i.e. for 3,20,76,188 is 1

LCM of denominators i.e. for 28,46,276,601 is 1161132.

Thus, GCF of Fractions is 1/1161132.Finally, GCF of Fractions for 3/28, 20/46, 76/276, 188/601 is 1/1161132.