Greatest Common Factor of 3544/600, 3590/2410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3544/600, 3590/2410

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 3544/600,3590/2410

Given fractions are 3544/600,3590/2410

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 3544,3590

Greatest Common Factor of Numerators i.e. GCF of 3544,3590 is 2 .

LCM of Denominators means LCM of 600,2410 as per the given fractions.

LCM of 600,2410 is 144600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3544,3590

GCF of Fractions 3544/600,3590/2410 is 2/144600

2 3544, 3590
1772, 1795

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

Greatest Common Factor of 3544,3590 By Matching Biggest Common Factor Method

Greatest Common Factor of 3544,3590 By Matching Biggest Common Factor Method

Factors of 3544

List of positive integer factors of 3544 that divides 3544 without a remainder.

1,2,4,8,443,886,1772,3544

Factors of 3590

List of positive integer factors of 3590 that divides 3590 without a remainder.

1,2,5,10,359,718,1795,3590

Greatest Common Factor

We found the factors 3544,3590 . The biggest common factor number is the GCF number.
So the greatest common factor 3544,3590 is 2.

Lets's calculate LCM of 600,2410

2 600, 2410
5 300, 1205
60, 241

∴ So the LCM of the given numbers is 2 x 5 x 60 x 241 = 144600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/144600

Therefore, the GCF of Fractions 3544/600,3590/2410 is 2/144600

Least Common Multiple of 600,2410 with GCF Formula

Least Common Multiple of 600,2410 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 600,2410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,2410) = 10

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

GCF(600,2410) x common factors =10 x 1 = 10

LCM(600,2410) = ( 600 × 2410 ) / 10

LCM(600,2410) = 1446000 / 10

LCM(600,2410) = 144600


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 3544/600, 3590/2410

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 3544/600, 3590/2410?

Answer: GCF of Numerators as per given numbers 3544/600, 3590/2410 is

GCF of Numerators i.e. for 3544,3590 is 2

LCM of denominators i.e. for 600,2410 is 144600.

Thus, GCF of Fractions is 2/144600.Finally, GCF of Fractions for 3544/600, 3590/2410 is 2/144600.