Greatest Common Factor of 130/45, 861/24, 604/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 130/45, 861/24, 604/347

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 130/45,861/24,604/347

Given fractions are 130/45,861/24,604/347

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 130,861,604

Greatest Common Factor of Numerators i.e. GCF of 130,861,604 is 1 .

LCM of Denominators means LCM of 45,24,347 as per the given fractions.

LCM of 45,24,347 is 124920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 130,861,604

GCF of Fractions 130/45,861/24,604/347 is 1/124920

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

Greatest Common Factor of 130,861,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,861,604 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 130,861,604 . The biggest common factor number is the GCF number.
So the greatest common factor 130,861,604 is 1.

Lets's calculate LCM of 45,24,347

3 45, 24, 347
15, 8, 347

∴ So the LCM of the given numbers is 3 x 15 x 8 x 347 = 124920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124920

Therefore, the GCF of Fractions 130/45,861/24,604/347 is 1/124920

Least Common Multiple of 45,24,347 with GCF Formula

Least Common Multiple of 45,24,347 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 45,24,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,24,347) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(45,24,347) x common factors =1 x 3 = 3

LCM(45,24,347) = ( 45 × 24 × 347 ) / 3

LCM(45,24,347) = 374760 / 3

LCM(45,24,347) = 124920


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 130/45, 861/24, 604/347

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 130/45, 861/24, 604/347?

Answer: GCF of Numerators as per given numbers 130/45, 861/24, 604/347 is

GCF of Numerators i.e. for 130,861,604 is 1

LCM of denominators i.e. for 45,24,347 is 124920.

Thus, GCF of Fractions is 1/124920.Finally, GCF of Fractions for 130/45, 861/24, 604/347 is 1/124920.