Greatest Common Factor of 446/365, 3429/9749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 446/365, 3429/9749

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 446/365,3429/9749

Given fractions are 446/365,3429/9749

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 446,3429

Greatest Common Factor of Numerators i.e. GCF of 446,3429 is 1 .

LCM of Denominators means LCM of 365,9749 as per the given fractions.

LCM of 365,9749 is 3558385 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 446,3429

GCF of Fractions 446/365,3429/9749 is 1/3558385

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

Greatest Common Factor of 446,3429 By Matching Biggest Common Factor Method

Greatest Common Factor of 446,3429 By Matching Biggest Common Factor Method

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 3429

List of positive integer factors of 3429 that divides 3429 without a remainder.

1,3,9,27,127,381,1143,3429

Greatest Common Factor

We found the factors 446,3429 . The biggest common factor number is the GCF number.
So the greatest common factor 446,3429 is 1.

Lets's calculate LCM of 365,9749

Given numbers has no common factors except 1. So, there LCM is their product i.e 3558385

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3558385

Therefore, the GCF of Fractions 446/365,3429/9749 is 1/3558385

Least Common Multiple of 365,9749 with GCF Formula

Least Common Multiple of 365,9749 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 365,9749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,9749) = 1

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

GCF(365,9749) x common factors =1 x 1 = 1

LCM(365,9749) = ( 365 × 9749 ) / 1

LCM(365,9749) = 3558385 / 1

LCM(365,9749) = 3558385


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 446/365, 3429/9749

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 446/365, 3429/9749?

Answer: GCF of Numerators as per given numbers 446/365, 3429/9749 is

GCF of Numerators i.e. for 446,3429 is 1

LCM of denominators i.e. for 365,9749 is 3558385.

Thus, GCF of Fractions is 1/3558385.Finally, GCF of Fractions for 446/365, 3429/9749 is 1/3558385.