Greatest Common Factor of 900/27, 762/7950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 900/27, 762/7950

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 900/27,762/7950

Given fractions are 900/27,762/7950

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 900,762

Greatest Common Factor of Numerators i.e. GCF of 900,762 is 6 .

LCM of Denominators means LCM of 27,7950 as per the given fractions.

LCM of 27,7950 is 71550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 900,762

GCF of Fractions 900/27,762/7950 is 6/71550

2 900, 762
3 450, 381
150, 127

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 900,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,762 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 900,762 . The biggest common factor number is the GCF number.
So the greatest common factor 900,762 is 6.

Lets's calculate LCM of 27,7950

3 27, 7950
9, 2650

∴ So the LCM of the given numbers is 3 x 9 x 2650 = 71550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/71550

Therefore, the GCF of Fractions 900/27,762/7950 is 6/71550

Least Common Multiple of 27,7950 with GCF Formula

Least Common Multiple of 27,7950 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 27,7950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,7950) = 3

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

GCF(27,7950) x common factors =3 x 1 = 3

LCM(27,7950) = ( 27 × 7950 ) / 3

LCM(27,7950) = 214650 / 3

LCM(27,7950) = 71550


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 900/27, 762/7950

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 900/27, 762/7950?

Answer: GCF of Numerators as per given numbers 900/27, 762/7950 is

GCF of Numerators i.e. for 900,762 is 6

LCM of denominators i.e. for 27,7950 is 71550.

Thus, GCF of Fractions is 6/71550.Finally, GCF of Fractions for 900/27, 762/7950 is 6/71550.