Greatest Common Factor of 3/24, 37/48, 16/680, 131/173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/24, 37/48, 16/680, 131/173

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 3/24,37/48,16/680,131/173

Given fractions are 3/24,37/48,16/680,131/173

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 3,37,16,131

Greatest Common Factor of Numerators i.e. GCF of 3,37,16,131 is 1 .

LCM of Denominators means LCM of 24,48,680,173 as per the given fractions.

LCM of 24,48,680,173 is 705840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,37,16,131

GCF of Fractions 3/24,37/48,16/680,131/173 is 1/705840

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

Greatest Common Factor of 3,37,16,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,37,16,131 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 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 3,37,16,131 . The biggest common factor number is the GCF number.
So the greatest common factor 3,37,16,131 is 1.

Lets's calculate LCM of 24,48,680,173

2 24, 48, 680, 173
2 12, 24, 340, 173
2 6, 12, 170, 173
3 3, 6, 85, 173
1, 2, 85, 173

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 2 x 85 x 173 = 705840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/705840

Therefore, the GCF of Fractions 3/24,37/48,16/680,131/173 is 1/705840

Least Common Multiple of 24,48,680,173 with GCF Formula

Least Common Multiple of 24,48,680,173 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 24,48,680,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,48,680,173) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(24,48,680,173) x common factors =1 x 192 = 192

LCM(24,48,680,173) = ( 24 × 48 × 680 × 173 ) / 192

LCM(24,48,680,173) = 135521280 / 192

LCM(24,48,680,173) = 705840


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 3/24, 37/48, 16/680, 131/173

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 3/24, 37/48, 16/680, 131/173?

Answer: GCF of Numerators as per given numbers 3/24, 37/48, 16/680, 131/173 is

GCF of Numerators i.e. for 3,37,16,131 is 1

LCM of denominators i.e. for 24,48,680,173 is 705840.

Thus, GCF of Fractions is 1/705840.Finally, GCF of Fractions for 3/24, 37/48, 16/680, 131/173 is 1/705840.