Greatest Common Factor of 1500/23, 6737/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1500/23, 6737/271

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 1500/23,6737/271

Given fractions are 1500/23,6737/271

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 1500,6737

Greatest Common Factor of Numerators i.e. GCF of 1500,6737 is 1 .

LCM of Denominators means LCM of 23,271 as per the given fractions.

LCM of 23,271 is 6233 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1500,6737

GCF of Fractions 1500/23,6737/271 is 1/6233

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1500,6737 By Matching Biggest Common Factor Method

Greatest Common Factor of 1500,6737 By Matching Biggest Common Factor Method

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

Factors of 6737

List of positive integer factors of 6737 that divides 6737 without a remainder.

1,6737

Greatest Common Factor

We found the factors 1500,6737 . The biggest common factor number is the GCF number.
So the greatest common factor 1500,6737 is 1.

Lets's calculate LCM of 23,271

Given numbers has no common factors except 1. So, there LCM is their product i.e 6233

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6233

Therefore, the GCF of Fractions 1500/23,6737/271 is 1/6233

Least Common Multiple of 23,271 with GCF Formula

Least Common Multiple of 23,271 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 23,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,271) = 1

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

GCF(23,271) x common factors =1 x 1 = 1

LCM(23,271) = ( 23 × 271 ) / 1

LCM(23,271) = 6233 / 1

LCM(23,271) = 6233


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 1500/23, 6737/271

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 1500/23, 6737/271?

Answer: GCF of Numerators as per given numbers 1500/23, 6737/271 is

GCF of Numerators i.e. for 1500,6737 is 1

LCM of denominators i.e. for 23,271 is 6233.

Thus, GCF of Fractions is 1/6233.Finally, GCF of Fractions for 1500/23, 6737/271 is 1/6233.