Greatest Common Factor of 319/56, 317/24, 432/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 319/56, 317/24, 432/875

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 319/56,317/24,432/875

Given fractions are 319/56,317/24,432/875

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 319,317,432

Greatest Common Factor of Numerators i.e. GCF of 319,317,432 is 1 .

LCM of Denominators means LCM of 56,24,875 as per the given fractions.

LCM of 56,24,875 is 21000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 319,317,432

GCF of Fractions 319/56,317/24,432/875 is 1/21000

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

Greatest Common Factor of 319,317,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 319,317,432 By Matching Biggest Common Factor Method

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 319,317,432 . The biggest common factor number is the GCF number.
So the greatest common factor 319,317,432 is 1.

Lets's calculate LCM of 56,24,875

2 56, 24, 875
2 28, 12, 875
2 14, 6, 875
7 7, 3, 875
1, 3, 125

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 3 x 125 = 21000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21000

Therefore, the GCF of Fractions 319/56,317/24,432/875 is 1/21000

Least Common Multiple of 56,24,875 with GCF Formula

Least Common Multiple of 56,24,875 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 56,24,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,24,875) = 1

common factors(in case of two or more numbers have common factors) = 56

GCF(56,24,875) x common factors =1 x 56 = 56

LCM(56,24,875) = ( 56 × 24 × 875 ) / 56

LCM(56,24,875) = 1176000 / 56

LCM(56,24,875) = 21000


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 319/56, 317/24, 432/875

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 319/56, 317/24, 432/875?

Answer: GCF of Numerators as per given numbers 319/56, 317/24, 432/875 is

GCF of Numerators i.e. for 319,317,432 is 1

LCM of denominators i.e. for 56,24,875 is 21000.

Thus, GCF of Fractions is 1/21000.Finally, GCF of Fractions for 319/56, 317/24, 432/875 is 1/21000.