Greatest Common Factor of 607/64, 824/29, 875/32

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 607/64, 824/29, 875/32

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 607/64,824/29,875/32

Given fractions are 607/64,824/29,875/32

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 607,824,875

Greatest Common Factor of Numerators i.e. GCF of 607,824,875 is 1 .

LCM of Denominators means LCM of 64,29,32 as per the given fractions.

LCM of 64,29,32 is 1856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 607,824,875

GCF of Fractions 607/64,824/29,875/32 is 1/1856

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

Greatest Common Factor of 607,824,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 607,824,875 By Matching Biggest Common Factor Method

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 607,824,875 . The biggest common factor number is the GCF number.
So the greatest common factor 607,824,875 is 1.

Lets's calculate LCM of 64,29,32

2 64, 29, 32
2 32, 29, 16
2 8, 29, 16
2 4, 29, 8
2 2, 29, 4
1, 29, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 1 x 29 x 2 = 1856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1856

Therefore, the GCF of Fractions 607/64,824/29,875/32 is 1/1856

Least Common Multiple of 64,29,32 with GCF Formula

Least Common Multiple of 64,29,32 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 64,29,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,29,32) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(64,29,32) x common factors =1 x 32 = 32

LCM(64,29,32) = ( 64 × 29 × 32 ) / 32

LCM(64,29,32) = 59392 / 32

LCM(64,29,32) = 1856


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 607/64, 824/29, 875/32

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 607/64, 824/29, 875/32?

Answer: GCF of Numerators as per given numbers 607/64, 824/29, 875/32 is

GCF of Numerators i.e. for 607,824,875 is 1

LCM of denominators i.e. for 64,29,32 is 1856.

Thus, GCF of Fractions is 1/1856.Finally, GCF of Fractions for 607/64, 824/29, 875/32 is 1/1856.