Greatest Common Factor of 900/78, 975/32, 240/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 900/78, 975/32, 240/427

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 900/78,975/32,240/427

Given fractions are 900/78,975/32,240/427

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 900,975,240

Greatest Common Factor of Numerators i.e. GCF of 900,975,240 is 15 .

LCM of Denominators means LCM of 78,32,427 as per the given fractions.

LCM of 78,32,427 is 532896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 900,975,240

GCF of Fractions 900/78,975/32,240/427 is 15/532896

3 900, 975, 240
5 300, 325, 80
60, 65, 16

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 900,975,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,975,240 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 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 900,975,240 . The biggest common factor number is the GCF number.
So the greatest common factor 900,975,240 is 15.

Lets's calculate LCM of 78,32,427

2 78, 32, 427
39, 16, 427

∴ So the LCM of the given numbers is 2 x 39 x 16 x 427 = 532896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/532896

Therefore, the GCF of Fractions 900/78,975/32,240/427 is 15/532896

Least Common Multiple of 78,32,427 with GCF Formula

Least Common Multiple of 78,32,427 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 78,32,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,32,427) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,32,427) x common factors =1 x 2 = 2

LCM(78,32,427) = ( 78 × 32 × 427 ) / 2

LCM(78,32,427) = 1065792 / 2

LCM(78,32,427) = 532896


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 900/78, 975/32, 240/427

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 900/78, 975/32, 240/427?

Answer: GCF of Numerators as per given numbers 900/78, 975/32, 240/427 is

GCF of Numerators i.e. for 900,975,240 is 15

LCM of denominators i.e. for 78,32,427 is 532896.

Thus, GCF of Fractions is 15/532896.Finally, GCF of Fractions for 900/78, 975/32, 240/427 is 15/532896.