Greatest Common Factor of 365/420, 1834/3486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 365/420, 1834/3486

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 365/420,1834/3486

Given fractions are 365/420,1834/3486

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 365,1834

Greatest Common Factor of Numerators i.e. GCF of 365,1834 is 1 .

LCM of Denominators means LCM of 420,3486 as per the given fractions.

LCM of 420,3486 is 34860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 365,1834

GCF of Fractions 365/420,1834/3486 is 1/34860

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

Greatest Common Factor of 365,1834 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,1834 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 1834

List of positive integer factors of 1834 that divides 1834 without a remainder.

1,2,7,14,131,262,917,1834

Greatest Common Factor

We found the factors 365,1834 . The biggest common factor number is the GCF number.
So the greatest common factor 365,1834 is 1.

Lets's calculate LCM of 420,3486

2 420, 3486
3 210, 1743
7 70, 581
10, 83

∴ So the LCM of the given numbers is 2 x 3 x 7 x 10 x 83 = 34860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34860

Therefore, the GCF of Fractions 365/420,1834/3486 is 1/34860

Least Common Multiple of 420,3486 with GCF Formula

Least Common Multiple of 420,3486 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 420,3486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,3486) = 42

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

GCF(420,3486) x common factors =42 x 1 = 42

LCM(420,3486) = ( 420 × 3486 ) / 42

LCM(420,3486) = 1464120 / 42

LCM(420,3486) = 34860


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 365/420, 1834/3486

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 365/420, 1834/3486?

Answer: GCF of Numerators as per given numbers 365/420, 1834/3486 is

GCF of Numerators i.e. for 365,1834 is 1

LCM of denominators i.e. for 420,3486 is 34860.

Thus, GCF of Fractions is 1/34860.Finally, GCF of Fractions for 365/420, 1834/3486 is 1/34860.