Greatest Common Factor of 9805/413, 4909/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9805/413, 4909/552

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 9805/413,4909/552

Given fractions are 9805/413,4909/552

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 9805,4909

Greatest Common Factor of Numerators i.e. GCF of 9805,4909 is 1 .

LCM of Denominators means LCM of 413,552 as per the given fractions.

LCM of 413,552 is 227976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9805,4909

GCF of Fractions 9805/413,4909/552 is 1/227976

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

Greatest Common Factor of 9805,4909 By Matching Biggest Common Factor Method

Greatest Common Factor of 9805,4909 By Matching Biggest Common Factor Method

Factors of 9805

List of positive integer factors of 9805 that divides 9805 without a remainder.

1,5,37,53,185,265,1961,9805

Factors of 4909

List of positive integer factors of 4909 that divides 4909 without a remainder.

1,4909

Greatest Common Factor

We found the factors 9805,4909 . The biggest common factor number is the GCF number.
So the greatest common factor 9805,4909 is 1.

Lets's calculate LCM of 413,552

Given numbers has no common factors except 1. So, there LCM is their product i.e 227976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227976

Therefore, the GCF of Fractions 9805/413,4909/552 is 1/227976

Least Common Multiple of 413,552 with GCF Formula

Least Common Multiple of 413,552 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 413,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,552) = 1

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

GCF(413,552) x common factors =1 x 1 = 1

LCM(413,552) = ( 413 × 552 ) / 1

LCM(413,552) = 227976 / 1

LCM(413,552) = 227976


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 9805/413, 4909/552

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 9805/413, 4909/552?

Answer: GCF of Numerators as per given numbers 9805/413, 4909/552 is

GCF of Numerators i.e. for 9805,4909 is 1

LCM of denominators i.e. for 413,552 is 227976.

Thus, GCF of Fractions is 1/227976.Finally, GCF of Fractions for 9805/413, 4909/552 is 1/227976.