Greatest Common Factor of 699/772, 3000/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 699/772, 3000/272

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 699/772,3000/272

Given fractions are 699/772,3000/272

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 699,3000

Greatest Common Factor of Numerators i.e. GCF of 699,3000 is 3 .

LCM of Denominators means LCM of 772,272 as per the given fractions.

LCM of 772,272 is 52496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 699,3000

GCF of Fractions 699/772,3000/272 is 3/52496

3 699, 3000
233, 1000

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 699,3000 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,3000 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 3000

List of positive integer factors of 3000 that divides 3000 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,125,150,200,250,300,375,500,600,750,1000,1500,3000

Greatest Common Factor

We found the factors 699,3000 . The biggest common factor number is the GCF number.
So the greatest common factor 699,3000 is 3.

Lets's calculate LCM of 772,272

2 772, 272
2 386, 136
193, 68

∴ So the LCM of the given numbers is 2 x 2 x 193 x 68 = 52496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/52496

Therefore, the GCF of Fractions 699/772,3000/272 is 3/52496

Least Common Multiple of 772,272 with GCF Formula

Least Common Multiple of 772,272 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 772,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,272) = 4

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

GCF(772,272) x common factors =4 x 1 = 4

LCM(772,272) = ( 772 × 272 ) / 4

LCM(772,272) = 209984 / 4

LCM(772,272) = 52496


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 699/772, 3000/272

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 699/772, 3000/272?

Answer: GCF of Numerators as per given numbers 699/772, 3000/272 is

GCF of Numerators i.e. for 699,3000 is 3

LCM of denominators i.e. for 772,272 is 52496.

Thus, GCF of Fractions is 3/52496.Finally, GCF of Fractions for 699/772, 3000/272 is 3/52496.