Greatest Common Factor of 2415/574, 9858/7194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2415/574, 9858/7194

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 2415/574,9858/7194

Given fractions are 2415/574,9858/7194

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 2415,9858

Greatest Common Factor of Numerators i.e. GCF of 2415,9858 is 3 .

LCM of Denominators means LCM of 574,7194 as per the given fractions.

LCM of 574,7194 is 2064678 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2415,9858

GCF of Fractions 2415/574,9858/7194 is 3/2064678

3 2415, 9858
805, 3286

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2415,9858 By Matching Biggest Common Factor Method

Greatest Common Factor of 2415,9858 By Matching Biggest Common Factor Method

Factors of 2415

List of positive integer factors of 2415 that divides 2415 without a remainder.

1,3,5,7,15,21,23,35,69,105,115,161,345,483,805,2415

Factors of 9858

List of positive integer factors of 9858 that divides 9858 without a remainder.

1,2,3,6,31,53,62,93,106,159,186,318,1643,3286,4929,9858

Greatest Common Factor

We found the factors 2415,9858 . The biggest common factor number is the GCF number.
So the greatest common factor 2415,9858 is 3.

Lets's calculate LCM of 574,7194

2 574, 7194
287, 3597

∴ So the LCM of the given numbers is 2 x 287 x 3597 = 2064678

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2064678

Therefore, the GCF of Fractions 2415/574,9858/7194 is 3/2064678

Least Common Multiple of 574,7194 with GCF Formula

Least Common Multiple of 574,7194 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 574,7194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,7194) = 2

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

GCF(574,7194) x common factors =2 x 1 = 2

LCM(574,7194) = ( 574 × 7194 ) / 2

LCM(574,7194) = 4129356 / 2

LCM(574,7194) = 2064678


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 2415/574, 9858/7194

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 2415/574, 9858/7194?

Answer: GCF of Numerators as per given numbers 2415/574, 9858/7194 is

GCF of Numerators i.e. for 2415,9858 is 3

LCM of denominators i.e. for 574,7194 is 2064678.

Thus, GCF of Fractions is 3/2064678.Finally, GCF of Fractions for 2415/574, 9858/7194 is 3/2064678.