Greatest Common Factor of 423/1735, 434/6413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 423/1735, 434/6413

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 423/1735,434/6413

Given fractions are 423/1735,434/6413

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 423,434

Greatest Common Factor of Numerators i.e. GCF of 423,434 is 1 .

LCM of Denominators means LCM of 1735,6413 as per the given fractions.

LCM of 1735,6413 is 11126555 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 423,434

GCF of Fractions 423/1735,434/6413 is 1/11126555

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

Greatest Common Factor of 423,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,434 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 423,434 . The biggest common factor number is the GCF number.
So the greatest common factor 423,434 is 1.

Lets's calculate LCM of 1735,6413

Given numbers has no common factors except 1. So, there LCM is their product i.e 11126555

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11126555

Therefore, the GCF of Fractions 423/1735,434/6413 is 1/11126555

Least Common Multiple of 1735,6413 with GCF Formula

Least Common Multiple of 1735,6413 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 1735,6413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1735,6413) = 1

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

GCF(1735,6413) x common factors =1 x 1 = 1

LCM(1735,6413) = ( 1735 × 6413 ) / 1

LCM(1735,6413) = 11126555 / 1

LCM(1735,6413) = 11126555


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 423/1735, 434/6413

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 423/1735, 434/6413?

Answer: GCF of Numerators as per given numbers 423/1735, 434/6413 is

GCF of Numerators i.e. for 423,434 is 1

LCM of denominators i.e. for 1735,6413 is 11126555.

Thus, GCF of Fractions is 1/11126555.Finally, GCF of Fractions for 423/1735, 434/6413 is 1/11126555.