Greatest Common Factor of 3599/52, 1860/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3599/52, 1860/550

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 3599/52,1860/550

Given fractions are 3599/52,1860/550

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 3599,1860

Greatest Common Factor of Numerators i.e. GCF of 3599,1860 is 1 .

LCM of Denominators means LCM of 52,550 as per the given fractions.

LCM of 52,550 is 14300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3599,1860

GCF of Fractions 3599/52,1860/550 is 1/14300

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

Greatest Common Factor of 3599,1860 By Matching Biggest Common Factor Method

Greatest Common Factor of 3599,1860 By Matching Biggest Common Factor Method

Factors of 3599

List of positive integer factors of 3599 that divides 3599 without a remainder.

1,59,61,3599

Factors of 1860

List of positive integer factors of 1860 that divides 1860 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,31,60,62,93,124,155,186,310,372,465,620,930,1860

Greatest Common Factor

We found the factors 3599,1860 . The biggest common factor number is the GCF number.
So the greatest common factor 3599,1860 is 1.

Lets's calculate LCM of 52,550

2 52, 550
26, 275

∴ So the LCM of the given numbers is 2 x 26 x 275 = 14300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14300

Therefore, the GCF of Fractions 3599/52,1860/550 is 1/14300

Least Common Multiple of 52,550 with GCF Formula

Least Common Multiple of 52,550 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 52,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,550) = 2

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

GCF(52,550) x common factors =2 x 1 = 2

LCM(52,550) = ( 52 × 550 ) / 2

LCM(52,550) = 28600 / 2

LCM(52,550) = 14300


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 3599/52, 1860/550

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 3599/52, 1860/550?

Answer: GCF of Numerators as per given numbers 3599/52, 1860/550 is

GCF of Numerators i.e. for 3599,1860 is 1

LCM of denominators i.e. for 52,550 is 14300.

Thus, GCF of Fractions is 1/14300.Finally, GCF of Fractions for 3599/52, 1860/550 is 1/14300.