Greatest Common Factor of 375/13, 600/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 375/13, 600/679

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 375/13,600/679

Given fractions are 375/13,600/679

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 375,600

Greatest Common Factor of Numerators i.e. GCF of 375,600 is 75 .

LCM of Denominators means LCM of 13,679 as per the given fractions.

LCM of 13,679 is 8827 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 375,600

GCF of Fractions 375/13,600/679 is 75/8827

3 375, 600
5 125, 200
5 25, 40
5, 8

∴ So the GCF of the given numbers is 3 x 5 x 5 = 75

Greatest Common Factor of 375,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,600 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 375,600 . The biggest common factor number is the GCF number.
So the greatest common factor 375,600 is 75.

Lets's calculate LCM of 13,679

Given numbers has no common factors except 1. So, there LCM is their product i.e 8827

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 75/8827

Therefore, the GCF of Fractions 375/13,600/679 is 75/8827

Least Common Multiple of 13,679 with GCF Formula

Least Common Multiple of 13,679 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 13,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,679) = 1

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

GCF(13,679) x common factors =1 x 1 = 1

LCM(13,679) = ( 13 × 679 ) / 1

LCM(13,679) = 8827 / 1

LCM(13,679) = 8827


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 375/13, 600/679

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 375/13, 600/679?

Answer: GCF of Numerators as per given numbers 375/13, 600/679 is

GCF of Numerators i.e. for 375,600 is 75

LCM of denominators i.e. for 13,679 is 8827.

Thus, GCF of Fractions is 75/8827.Finally, GCF of Fractions for 375/13, 600/679 is 75/8827.