Greatest Common Factor of 433/67, 2454/443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 433/67, 2454/443

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 433/67,2454/443

Given fractions are 433/67,2454/443

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 433,2454

Greatest Common Factor of Numerators i.e. GCF of 433,2454 is 1 .

LCM of Denominators means LCM of 67,443 as per the given fractions.

LCM of 67,443 is 29681 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 433,2454

GCF of Fractions 433/67,2454/443 is 1/29681

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

Greatest Common Factor of 433,2454 By Matching Biggest Common Factor Method

Greatest Common Factor of 433,2454 By Matching Biggest Common Factor Method

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 2454

List of positive integer factors of 2454 that divides 2454 without a remainder.

1,2,3,6,409,818,1227,2454

Greatest Common Factor

We found the factors 433,2454 . The biggest common factor number is the GCF number.
So the greatest common factor 433,2454 is 1.

Lets's calculate LCM of 67,443

Given numbers has no common factors except 1. So, there LCM is their product i.e 29681

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29681

Therefore, the GCF of Fractions 433/67,2454/443 is 1/29681

Least Common Multiple of 67,443 with GCF Formula

Least Common Multiple of 67,443 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 67,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,443) = 1

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

GCF(67,443) x common factors =1 x 1 = 1

LCM(67,443) = ( 67 × 443 ) / 1

LCM(67,443) = 29681 / 1

LCM(67,443) = 29681


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 433/67, 2454/443

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 433/67, 2454/443?

Answer: GCF of Numerators as per given numbers 433/67, 2454/443 is

GCF of Numerators i.e. for 433,2454 is 1

LCM of denominators i.e. for 67,443 is 29681.

Thus, GCF of Fractions is 1/29681.Finally, GCF of Fractions for 433/67, 2454/443 is 1/29681.