Greatest Common Factor of 6737/633, 2862/9673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6737/633, 2862/9673

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 6737/633,2862/9673

Given fractions are 6737/633,2862/9673

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 6737,2862

Greatest Common Factor of Numerators i.e. GCF of 6737,2862 is 1 .

LCM of Denominators means LCM of 633,9673 as per the given fractions.

LCM of 633,9673 is 6123009 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6737,2862

GCF of Fractions 6737/633,2862/9673 is 1/6123009

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

Greatest Common Factor of 6737,2862 By Matching Biggest Common Factor Method

Greatest Common Factor of 6737,2862 By Matching Biggest Common Factor Method

Factors of 6737

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

1,6737

Factors of 2862

List of positive integer factors of 2862 that divides 2862 without a remainder.

1,2,3,6,9,18,27,53,54,106,159,318,477,954,1431,2862

Greatest Common Factor

We found the factors 6737,2862 . The biggest common factor number is the GCF number.
So the greatest common factor 6737,2862 is 1.

Lets's calculate LCM of 633,9673

Given numbers has no common factors except 1. So, there LCM is their product i.e 6123009

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6123009

Therefore, the GCF of Fractions 6737/633,2862/9673 is 1/6123009

Least Common Multiple of 633,9673 with GCF Formula

Least Common Multiple of 633,9673 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 633,9673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(633,9673) = 1

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

GCF(633,9673) x common factors =1 x 1 = 1

LCM(633,9673) = ( 633 × 9673 ) / 1

LCM(633,9673) = 6123009 / 1

LCM(633,9673) = 6123009


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 6737/633, 2862/9673

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 6737/633, 2862/9673?

Answer: GCF of Numerators as per given numbers 6737/633, 2862/9673 is

GCF of Numerators i.e. for 6737,2862 is 1

LCM of denominators i.e. for 633,9673 is 6123009.

Thus, GCF of Fractions is 1/6123009.Finally, GCF of Fractions for 6737/633, 2862/9673 is 1/6123009.