Greatest Common Factor of 9244/69, 1500/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9244/69, 1500/652

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 9244/69,1500/652

Given fractions are 9244/69,1500/652

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 9244,1500

Greatest Common Factor of Numerators i.e. GCF of 9244,1500 is 4 .

LCM of Denominators means LCM of 69,652 as per the given fractions.

LCM of 69,652 is 44988 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9244,1500

GCF of Fractions 9244/69,1500/652 is 4/44988

2 9244, 1500
2 4622, 750
2311, 375

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9244,1500 By Matching Biggest Common Factor Method

Greatest Common Factor of 9244,1500 By Matching Biggest Common Factor Method

Factors of 9244

List of positive integer factors of 9244 that divides 9244 without a remainder.

1,2,4,2311,4622,9244

Factors of 1500

List of positive integer factors of 1500 that divides 1500 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,750,1500

Greatest Common Factor

We found the factors 9244,1500 . The biggest common factor number is the GCF number.
So the greatest common factor 9244,1500 is 4.

Lets's calculate LCM of 69,652

Given numbers has no common factors except 1. So, there LCM is their product i.e 44988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/44988

Therefore, the GCF of Fractions 9244/69,1500/652 is 4/44988

Least Common Multiple of 69,652 with GCF Formula

Least Common Multiple of 69,652 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 69,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,652) = 1

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

GCF(69,652) x common factors =1 x 1 = 1

LCM(69,652) = ( 69 × 652 ) / 1

LCM(69,652) = 44988 / 1

LCM(69,652) = 44988


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 9244/69, 1500/652

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 9244/69, 1500/652?

Answer: GCF of Numerators as per given numbers 9244/69, 1500/652 is

GCF of Numerators i.e. for 9244,1500 is 4

LCM of denominators i.e. for 69,652 is 44988.

Thus, GCF of Fractions is 4/44988.Finally, GCF of Fractions for 9244/69, 1500/652 is 4/44988.