Greatest Common Factor of 9846/521, 1604/2935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9846/521, 1604/2935

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 9846/521,1604/2935

Given fractions are 9846/521,1604/2935

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 9846,1604

Greatest Common Factor of Numerators i.e. GCF of 9846,1604 is 2 .

LCM of Denominators means LCM of 521,2935 as per the given fractions.

LCM of 521,2935 is 1529135 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9846,1604

GCF of Fractions 9846/521,1604/2935 is 2/1529135

2 9846, 1604
4923, 802

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

Greatest Common Factor of 9846,1604 By Matching Biggest Common Factor Method

Greatest Common Factor of 9846,1604 By Matching Biggest Common Factor Method

Factors of 9846

List of positive integer factors of 9846 that divides 9846 without a remainder.

1,2,3,6,9,18,547,1094,1641,3282,4923,9846

Factors of 1604

List of positive integer factors of 1604 that divides 1604 without a remainder.

1,2,4,401,802,1604

Greatest Common Factor

We found the factors 9846,1604 . The biggest common factor number is the GCF number.
So the greatest common factor 9846,1604 is 2.

Lets's calculate LCM of 521,2935

Given numbers has no common factors except 1. So, there LCM is their product i.e 1529135

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1529135

Therefore, the GCF of Fractions 9846/521,1604/2935 is 2/1529135

Least Common Multiple of 521,2935 with GCF Formula

Least Common Multiple of 521,2935 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 521,2935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,2935) = 1

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

GCF(521,2935) x common factors =1 x 1 = 1

LCM(521,2935) = ( 521 × 2935 ) / 1

LCM(521,2935) = 1529135 / 1

LCM(521,2935) = 1529135


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 9846/521, 1604/2935

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 9846/521, 1604/2935?

Answer: GCF of Numerators as per given numbers 9846/521, 1604/2935 is

GCF of Numerators i.e. for 9846,1604 is 2

LCM of denominators i.e. for 521,2935 is 1529135.

Thus, GCF of Fractions is 2/1529135.Finally, GCF of Fractions for 9846/521, 1604/2935 is 2/1529135.