Greatest Common Factor of 9685/823, 2004/8051

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9685/823, 2004/8051

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 9685/823,2004/8051

Given fractions are 9685/823,2004/8051

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 9685,2004

Greatest Common Factor of Numerators i.e. GCF of 9685,2004 is 1 .

LCM of Denominators means LCM of 823,8051 as per the given fractions.

LCM of 823,8051 is 6625973 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9685,2004

GCF of Fractions 9685/823,2004/8051 is 1/6625973

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

Greatest Common Factor of 9685,2004 By Matching Biggest Common Factor Method

Greatest Common Factor of 9685,2004 By Matching Biggest Common Factor Method

Factors of 9685

List of positive integer factors of 9685 that divides 9685 without a remainder.

1,5,13,65,149,745,1937,9685

Factors of 2004

List of positive integer factors of 2004 that divides 2004 without a remainder.

1,2,3,4,6,12,167,334,501,668,1002,2004

Greatest Common Factor

We found the factors 9685,2004 . The biggest common factor number is the GCF number.
So the greatest common factor 9685,2004 is 1.

Lets's calculate LCM of 823,8051

Given numbers has no common factors except 1. So, there LCM is their product i.e 6625973

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6625973

Therefore, the GCF of Fractions 9685/823,2004/8051 is 1/6625973

Least Common Multiple of 823,8051 with GCF Formula

Least Common Multiple of 823,8051 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 823,8051 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,8051) = 1

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

GCF(823,8051) x common factors =1 x 1 = 1

LCM(823,8051) = ( 823 × 8051 ) / 1

LCM(823,8051) = 6625973 / 1

LCM(823,8051) = 6625973


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 9685/823, 2004/8051

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 9685/823, 2004/8051?

Answer: GCF of Numerators as per given numbers 9685/823, 2004/8051 is

GCF of Numerators i.e. for 9685,2004 is 1

LCM of denominators i.e. for 823,8051 is 6625973.

Thus, GCF of Fractions is 1/6625973.Finally, GCF of Fractions for 9685/823, 2004/8051 is 1/6625973.