Greatest Common Factor of 1785/36, 4017/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1785/36, 4017/410

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 1785/36,4017/410

Given fractions are 1785/36,4017/410

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 1785,4017

Greatest Common Factor of Numerators i.e. GCF of 1785,4017 is 3 .

LCM of Denominators means LCM of 36,410 as per the given fractions.

LCM of 36,410 is 7380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1785,4017

GCF of Fractions 1785/36,4017/410 is 3/7380

3 1785, 4017
595, 1339

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

Greatest Common Factor of 1785,4017 By Matching Biggest Common Factor Method

Greatest Common Factor of 1785,4017 By Matching Biggest Common Factor Method

Factors of 1785

List of positive integer factors of 1785 that divides 1785 without a remainder.

1,3,5,7,15,17,21,35,51,85,105,119,255,357,595,1785

Factors of 4017

List of positive integer factors of 4017 that divides 4017 without a remainder.

1,3,13,39,103,309,1339,4017

Greatest Common Factor

We found the factors 1785,4017 . The biggest common factor number is the GCF number.
So the greatest common factor 1785,4017 is 3.

Lets's calculate LCM of 36,410

2 36, 410
18, 205

∴ So the LCM of the given numbers is 2 x 18 x 205 = 7380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7380

Therefore, the GCF of Fractions 1785/36,4017/410 is 3/7380

Least Common Multiple of 36,410 with GCF Formula

Least Common Multiple of 36,410 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 36,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,410) = 2

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

GCF(36,410) x common factors =2 x 1 = 2

LCM(36,410) = ( 36 × 410 ) / 2

LCM(36,410) = 14760 / 2

LCM(36,410) = 7380


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 1785/36, 4017/410

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 1785/36, 4017/410?

Answer: GCF of Numerators as per given numbers 1785/36, 4017/410 is

GCF of Numerators i.e. for 1785,4017 is 3

LCM of denominators i.e. for 36,410 is 7380.

Thus, GCF of Fractions is 3/7380.Finally, GCF of Fractions for 1785/36, 4017/410 is 3/7380.