Greatest Common Factor of 373/3409, 456/4789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 373/3409, 456/4789

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 373/3409,456/4789

Given fractions are 373/3409,456/4789

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 373,456

Greatest Common Factor of Numerators i.e. GCF of 373,456 is 1 .

LCM of Denominators means LCM of 3409,4789 as per the given fractions.

LCM of 3409,4789 is 16325701 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 373,456

GCF of Fractions 373/3409,456/4789 is 1/16325701

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

Greatest Common Factor of 373,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 373,456 By Matching Biggest Common Factor Method

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 373,456 . The biggest common factor number is the GCF number.
So the greatest common factor 373,456 is 1.

Lets's calculate LCM of 3409,4789

Given numbers has no common factors except 1. So, there LCM is their product i.e 16325701

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16325701

Therefore, the GCF of Fractions 373/3409,456/4789 is 1/16325701

Least Common Multiple of 3409,4789 with GCF Formula

Least Common Multiple of 3409,4789 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 3409,4789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3409,4789) = 1

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

GCF(3409,4789) x common factors =1 x 1 = 1

LCM(3409,4789) = ( 3409 × 4789 ) / 1

LCM(3409,4789) = 16325701 / 1

LCM(3409,4789) = 16325701


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 373/3409, 456/4789

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 373/3409, 456/4789?

Answer: GCF of Numerators as per given numbers 373/3409, 456/4789 is

GCF of Numerators i.e. for 373,456 is 1

LCM of denominators i.e. for 3409,4789 is 16325701.

Thus, GCF of Fractions is 1/16325701.Finally, GCF of Fractions for 373/3409, 456/4789 is 1/16325701.