Greatest Common Factor of 2150/72, 9206/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2150/72, 9206/737

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 2150/72,9206/737

Given fractions are 2150/72,9206/737

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 2150,9206

Greatest Common Factor of Numerators i.e. GCF of 2150,9206 is 2 .

LCM of Denominators means LCM of 72,737 as per the given fractions.

LCM of 72,737 is 53064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2150,9206

GCF of Fractions 2150/72,9206/737 is 2/53064

2 2150, 9206
1075, 4603

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

Greatest Common Factor of 2150,9206 By Matching Biggest Common Factor Method

Greatest Common Factor of 2150,9206 By Matching Biggest Common Factor Method

Factors of 2150

List of positive integer factors of 2150 that divides 2150 without a remainder.

1,2,5,10,25,43,50,86,215,430,1075,2150

Factors of 9206

List of positive integer factors of 9206 that divides 9206 without a remainder.

1,2,4603,9206

Greatest Common Factor

We found the factors 2150,9206 . The biggest common factor number is the GCF number.
So the greatest common factor 2150,9206 is 2.

Lets's calculate LCM of 72,737

Given numbers has no common factors except 1. So, there LCM is their product i.e 53064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53064

Therefore, the GCF of Fractions 2150/72,9206/737 is 2/53064

Least Common Multiple of 72,737 with GCF Formula

Least Common Multiple of 72,737 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 72,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,737) = 1

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

GCF(72,737) x common factors =1 x 1 = 1

LCM(72,737) = ( 72 × 737 ) / 1

LCM(72,737) = 53064 / 1

LCM(72,737) = 53064


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 2150/72, 9206/737

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 2150/72, 9206/737?

Answer: GCF of Numerators as per given numbers 2150/72, 9206/737 is

GCF of Numerators i.e. for 2150,9206 is 2

LCM of denominators i.e. for 72,737 is 53064.

Thus, GCF of Fractions is 2/53064.Finally, GCF of Fractions for 2150/72, 9206/737 is 2/53064.