Greatest Common Factor of 954/36, 900/1264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 954/36, 900/1264

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 954/36,900/1264

Given fractions are 954/36,900/1264

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 954,900

Greatest Common Factor of Numerators i.e. GCF of 954,900 is 18 .

LCM of Denominators means LCM of 36,1264 as per the given fractions.

LCM of 36,1264 is 11376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 954,900

GCF of Fractions 954/36,900/1264 is 18/11376

2 954, 900
3 477, 450
3 159, 150
53, 50

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 954,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,900 By Matching Biggest Common Factor Method

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

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 954,900 . The biggest common factor number is the GCF number.
So the greatest common factor 954,900 is 18.

Lets's calculate LCM of 36,1264

2 36, 1264
2 18, 632
9, 316

∴ So the LCM of the given numbers is 2 x 2 x 9 x 316 = 11376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/11376

Therefore, the GCF of Fractions 954/36,900/1264 is 18/11376

Least Common Multiple of 36,1264 with GCF Formula

Least Common Multiple of 36,1264 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 36,1264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,1264) = 4

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

GCF(36,1264) x common factors =4 x 1 = 4

LCM(36,1264) = ( 36 × 1264 ) / 4

LCM(36,1264) = 45504 / 4

LCM(36,1264) = 11376


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 954/36, 900/1264

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 954/36, 900/1264?

Answer: GCF of Numerators as per given numbers 954/36, 900/1264 is

GCF of Numerators i.e. for 954,900 is 18

LCM of denominators i.e. for 36,1264 is 11376.

Thus, GCF of Fractions is 18/11376.Finally, GCF of Fractions for 954/36, 900/1264 is 18/11376.