Greatest Common Factor of 433/637, 7194/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 433/637, 7194/306

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 433/637,7194/306

Given fractions are 433/637,7194/306

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 433,7194

Greatest Common Factor of Numerators i.e. GCF of 433,7194 is 1 .

LCM of Denominators means LCM of 637,306 as per the given fractions.

LCM of 637,306 is 194922 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 433,7194

GCF of Fractions 433/637,7194/306 is 1/194922

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

Greatest Common Factor of 433,7194 By Matching Biggest Common Factor Method

Greatest Common Factor of 433,7194 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 7194

List of positive integer factors of 7194 that divides 7194 without a remainder.

1,2,3,6,11,22,33,66,109,218,327,654,1199,2398,3597,7194

Greatest Common Factor

We found the factors 433,7194 . The biggest common factor number is the GCF number.
So the greatest common factor 433,7194 is 1.

Lets's calculate LCM of 637,306

Given numbers has no common factors except 1. So, there LCM is their product i.e 194922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194922

Therefore, the GCF of Fractions 433/637,7194/306 is 1/194922

Least Common Multiple of 637,306 with GCF Formula

Least Common Multiple of 637,306 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 637,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(637,306) = 1

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

GCF(637,306) x common factors =1 x 1 = 1

LCM(637,306) = ( 637 × 306 ) / 1

LCM(637,306) = 194922 / 1

LCM(637,306) = 194922


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 433/637, 7194/306

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 433/637, 7194/306?

Answer: GCF of Numerators as per given numbers 433/637, 7194/306 is

GCF of Numerators i.e. for 433,7194 is 1

LCM of denominators i.e. for 637,306 is 194922.

Thus, GCF of Fractions is 1/194922.Finally, GCF of Fractions for 433/637, 7194/306 is 1/194922.