Greatest Common Factor of 9642/733, 1840/9701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9642/733, 1840/9701

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 9642/733,1840/9701

Given fractions are 9642/733,1840/9701

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 9642,1840

Greatest Common Factor of Numerators i.e. GCF of 9642,1840 is 2 .

LCM of Denominators means LCM of 733,9701 as per the given fractions.

LCM of 733,9701 is 7110833 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9642,1840

GCF of Fractions 9642/733,1840/9701 is 2/7110833

2 9642, 1840
4821, 920

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

Greatest Common Factor of 9642,1840 By Matching Biggest Common Factor Method

Greatest Common Factor of 9642,1840 By Matching Biggest Common Factor Method

Factors of 9642

List of positive integer factors of 9642 that divides 9642 without a remainder.

1,2,3,6,1607,3214,4821,9642

Factors of 1840

List of positive integer factors of 1840 that divides 1840 without a remainder.

1,2,4,5,8,10,16,20,23,40,46,80,92,115,184,230,368,460,920,1840

Greatest Common Factor

We found the factors 9642,1840 . The biggest common factor number is the GCF number.
So the greatest common factor 9642,1840 is 2.

Lets's calculate LCM of 733,9701

Given numbers has no common factors except 1. So, there LCM is their product i.e 7110833

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7110833

Therefore, the GCF of Fractions 9642/733,1840/9701 is 2/7110833

Least Common Multiple of 733,9701 with GCF Formula

Least Common Multiple of 733,9701 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 733,9701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,9701) = 1

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

GCF(733,9701) x common factors =1 x 1 = 1

LCM(733,9701) = ( 733 × 9701 ) / 1

LCM(733,9701) = 7110833 / 1

LCM(733,9701) = 7110833


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 9642/733, 1840/9701

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 9642/733, 1840/9701?

Answer: GCF of Numerators as per given numbers 9642/733, 1840/9701 is

GCF of Numerators i.e. for 9642,1840 is 2

LCM of denominators i.e. for 733,9701 is 7110833.

Thus, GCF of Fractions is 2/7110833.Finally, GCF of Fractions for 9642/733, 1840/9701 is 2/7110833.