Greatest Common Factor of 400/32, 900/4777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 400/32, 900/4777

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 400/32,900/4777

Given fractions are 400/32,900/4777

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 400,900

Greatest Common Factor of Numerators i.e. GCF of 400,900 is 100 .

LCM of Denominators means LCM of 32,4777 as per the given fractions.

LCM of 32,4777 is 152864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 400,900

GCF of Fractions 400/32,900/4777 is 100/152864

2 400, 900
2 200, 450
5 100, 225
5 20, 45
4, 9

∴ So the GCF of the given numbers is 2 x 2 x 5 x 5 = 100

Greatest Common Factor of 400,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,900 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

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 400,900 . The biggest common factor number is the GCF number.
So the greatest common factor 400,900 is 100.

Lets's calculate LCM of 32,4777

Given numbers has no common factors except 1. So, there LCM is their product i.e 152864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 100/152864

Therefore, the GCF of Fractions 400/32,900/4777 is 100/152864

Least Common Multiple of 32,4777 with GCF Formula

Least Common Multiple of 32,4777 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 32,4777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,4777) = 1

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

GCF(32,4777) x common factors =1 x 1 = 1

LCM(32,4777) = ( 32 × 4777 ) / 1

LCM(32,4777) = 152864 / 1

LCM(32,4777) = 152864


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 400/32, 900/4777

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 400/32, 900/4777?

Answer: GCF of Numerators as per given numbers 400/32, 900/4777 is

GCF of Numerators i.e. for 400,900 is 100

LCM of denominators i.e. for 32,4777 is 152864.

Thus, GCF of Fractions is 100/152864.Finally, GCF of Fractions for 400/32, 900/4777 is 100/152864.