Greatest Common Factor of 150/22, 3734/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 150/22, 3734/683

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 150/22,3734/683

Given fractions are 150/22,3734/683

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 150,3734

Greatest Common Factor of Numerators i.e. GCF of 150,3734 is 2 .

LCM of Denominators means LCM of 22,683 as per the given fractions.

LCM of 22,683 is 15026 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 150,3734

GCF of Fractions 150/22,3734/683 is 2/15026

2 150, 3734
75, 1867

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

Greatest Common Factor of 150,3734 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,3734 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 3734

List of positive integer factors of 3734 that divides 3734 without a remainder.

1,2,1867,3734

Greatest Common Factor

We found the factors 150,3734 . The biggest common factor number is the GCF number.
So the greatest common factor 150,3734 is 2.

Lets's calculate LCM of 22,683

Given numbers has no common factors except 1. So, there LCM is their product i.e 15026

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15026

Therefore, the GCF of Fractions 150/22,3734/683 is 2/15026

Least Common Multiple of 22,683 with GCF Formula

Least Common Multiple of 22,683 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 22,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,683) = 1

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

GCF(22,683) x common factors =1 x 1 = 1

LCM(22,683) = ( 22 × 683 ) / 1

LCM(22,683) = 15026 / 1

LCM(22,683) = 15026


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 150/22, 3734/683

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 150/22, 3734/683?

Answer: GCF of Numerators as per given numbers 150/22, 3734/683 is

GCF of Numerators i.e. for 150,3734 is 2

LCM of denominators i.e. for 22,683 is 15026.

Thus, GCF of Fractions is 2/15026.Finally, GCF of Fractions for 150/22, 3734/683 is 2/15026.