Greatest Common Factor of 995/155, 512/360, 769/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 995/155, 512/360, 769/875

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 995/155,512/360,769/875

Given fractions are 995/155,512/360,769/875

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 995,512,769

Greatest Common Factor of Numerators i.e. GCF of 995,512,769 is 1 .

LCM of Denominators means LCM of 155,360,875 as per the given fractions.

LCM of 155,360,875 is 1953000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 995,512,769

GCF of Fractions 995/155,512/360,769/875 is 1/1953000

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

Greatest Common Factor of 995,512,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 995,512,769 By Matching Biggest Common Factor Method

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 995,512,769 . The biggest common factor number is the GCF number.
So the greatest common factor 995,512,769 is 1.

Lets's calculate LCM of 155,360,875

5 155, 360, 875
31, 72, 175

∴ So the LCM of the given numbers is 5 x 31 x 72 x 175 = 1953000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1953000

Therefore, the GCF of Fractions 995/155,512/360,769/875 is 1/1953000

Least Common Multiple of 155,360,875 with GCF Formula

Least Common Multiple of 155,360,875 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 155,360,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(155,360,875) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(155,360,875) x common factors =5 x 5 = 25

LCM(155,360,875) = ( 155 × 360 × 875 ) / 25

LCM(155,360,875) = 48825000 / 25

LCM(155,360,875) = 1953000


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 995/155, 512/360, 769/875

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 995/155, 512/360, 769/875?

Answer: GCF of Numerators as per given numbers 995/155, 512/360, 769/875 is

GCF of Numerators i.e. for 995,512,769 is 1

LCM of denominators i.e. for 155,360,875 is 1953000.

Thus, GCF of Fractions is 1/1953000.Finally, GCF of Fractions for 995/155, 512/360, 769/875 is 1/1953000.