Greatest Common Factor of 3490/601, 4806/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3490/601, 4806/524

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 3490/601,4806/524

Given fractions are 3490/601,4806/524

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 3490,4806

Greatest Common Factor of Numerators i.e. GCF of 3490,4806 is 2 .

LCM of Denominators means LCM of 601,524 as per the given fractions.

LCM of 601,524 is 314924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3490,4806

GCF of Fractions 3490/601,4806/524 is 2/314924

2 3490, 4806
1745, 2403

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

Greatest Common Factor of 3490,4806 By Matching Biggest Common Factor Method

Greatest Common Factor of 3490,4806 By Matching Biggest Common Factor Method

Factors of 3490

List of positive integer factors of 3490 that divides 3490 without a remainder.

1,2,5,10,349,698,1745,3490

Factors of 4806

List of positive integer factors of 4806 that divides 4806 without a remainder.

1,2,3,6,9,18,27,54,89,178,267,534,801,1602,2403,4806

Greatest Common Factor

We found the factors 3490,4806 . The biggest common factor number is the GCF number.
So the greatest common factor 3490,4806 is 2.

Lets's calculate LCM of 601,524

Given numbers has no common factors except 1. So, there LCM is their product i.e 314924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/314924

Therefore, the GCF of Fractions 3490/601,4806/524 is 2/314924

Least Common Multiple of 601,524 with GCF Formula

Least Common Multiple of 601,524 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 601,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,524) = 1

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

GCF(601,524) x common factors =1 x 1 = 1

LCM(601,524) = ( 601 × 524 ) / 1

LCM(601,524) = 314924 / 1

LCM(601,524) = 314924


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 3490/601, 4806/524

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 3490/601, 4806/524?

Answer: GCF of Numerators as per given numbers 3490/601, 4806/524 is

GCF of Numerators i.e. for 3490,4806 is 2

LCM of denominators i.e. for 601,524 is 314924.

Thus, GCF of Fractions is 2/314924.Finally, GCF of Fractions for 3490/601, 4806/524 is 2/314924.