Greatest Common Factor of 1774/33, 9359/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1774/33, 9359/304

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 1774/33,9359/304

Given fractions are 1774/33,9359/304

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 1774,9359

Greatest Common Factor of Numerators i.e. GCF of 1774,9359 is 1 .

LCM of Denominators means LCM of 33,304 as per the given fractions.

LCM of 33,304 is 10032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1774,9359

GCF of Fractions 1774/33,9359/304 is 1/10032

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

Greatest Common Factor of 1774,9359 By Matching Biggest Common Factor Method

Greatest Common Factor of 1774,9359 By Matching Biggest Common Factor Method

Factors of 1774

List of positive integer factors of 1774 that divides 1774 without a remainder.

1,2,887,1774

Factors of 9359

List of positive integer factors of 9359 that divides 9359 without a remainder.

1,7,49,191,1337,9359

Greatest Common Factor

We found the factors 1774,9359 . The biggest common factor number is the GCF number.
So the greatest common factor 1774,9359 is 1.

Lets's calculate LCM of 33,304

Given numbers has no common factors except 1. So, there LCM is their product i.e 10032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10032

Therefore, the GCF of Fractions 1774/33,9359/304 is 1/10032

Least Common Multiple of 33,304 with GCF Formula

Least Common Multiple of 33,304 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 33,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,304) = 1

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

GCF(33,304) x common factors =1 x 1 = 1

LCM(33,304) = ( 33 × 304 ) / 1

LCM(33,304) = 10032 / 1

LCM(33,304) = 10032


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 1774/33, 9359/304

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 1774/33, 9359/304?

Answer: GCF of Numerators as per given numbers 1774/33, 9359/304 is

GCF of Numerators i.e. for 1774,9359 is 1

LCM of denominators i.e. for 33,304 is 10032.

Thus, GCF of Fractions is 1/10032.Finally, GCF of Fractions for 1774/33, 9359/304 is 1/10032.