Greatest Common Factor of 450/48, 900/8757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 450/48, 900/8757

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 450/48,900/8757

Given fractions are 450/48,900/8757

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 450,900

Greatest Common Factor of Numerators i.e. GCF of 450,900 is 450 .

LCM of Denominators means LCM of 48,8757 as per the given fractions.

LCM of 48,8757 is 140112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 450,900

GCF of Fractions 450/48,900/8757 is 450/140112

2 450, 900
3 225, 450
3 75, 150
5 25, 50
5 5, 10
1, 2

∴ So the GCF of the given numbers is 2 x 3 x 3 x 5 x 5 = 450

Greatest Common Factor of 450,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,900 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

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

Greatest Common Factor

We found the factors 450,900 . The biggest common factor number is the GCF number.
So the greatest common factor 450,900 is 450.

Lets's calculate LCM of 48,8757

3 48, 8757
16, 2919

∴ So the LCM of the given numbers is 3 x 16 x 2919 = 140112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 450/140112

Therefore, the GCF of Fractions 450/48,900/8757 is 450/140112

Least Common Multiple of 48,8757 with GCF Formula

Least Common Multiple of 48,8757 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 48,8757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,8757) = 3

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

GCF(48,8757) x common factors =3 x 1 = 3

LCM(48,8757) = ( 48 × 8757 ) / 3

LCM(48,8757) = 420336 / 3

LCM(48,8757) = 140112


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 450/48, 900/8757

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 450/48, 900/8757?

Answer: GCF of Numerators as per given numbers 450/48, 900/8757 is

GCF of Numerators i.e. for 450,900 is 450

LCM of denominators i.e. for 48,8757 is 140112.

Thus, GCF of Fractions is 450/140112.Finally, GCF of Fractions for 450/48, 900/8757 is 450/140112.