Greatest Common Factor of 361/24, 560/6912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 361/24, 560/6912

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 361/24,560/6912

Given fractions are 361/24,560/6912

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 361,560

Greatest Common Factor of Numerators i.e. GCF of 361,560 is 1 .

LCM of Denominators means LCM of 24,6912 as per the given fractions.

LCM of 24,6912 is 6912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 361,560

GCF of Fractions 361/24,560/6912 is 1/6912

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

Greatest Common Factor of 361,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,560 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 361,560 . The biggest common factor number is the GCF number.
So the greatest common factor 361,560 is 1.

Lets's calculate LCM of 24,6912

2 24, 6912
2 12, 3456
2 6, 1728
3 3, 864
1, 288

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 288 = 6912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6912

Therefore, the GCF of Fractions 361/24,560/6912 is 1/6912

Least Common Multiple of 24,6912 with GCF Formula

Least Common Multiple of 24,6912 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 24,6912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,6912) = 24

common factors(in case of two or more numbers have common factors) = 1

GCF(24,6912) x common factors =24 x 1 = 24

LCM(24,6912) = ( 24 × 6912 ) / 24

LCM(24,6912) = 165888 / 24

LCM(24,6912) = 6912


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 361/24, 560/6912

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 361/24, 560/6912?

Answer: GCF of Numerators as per given numbers 361/24, 560/6912 is

GCF of Numerators i.e. for 361,560 is 1

LCM of denominators i.e. for 24,6912 is 6912.

Thus, GCF of Fractions is 1/6912.Finally, GCF of Fractions for 361/24, 560/6912 is 1/6912.