Greatest Common Factor of 7804/17, 7378/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7804/17, 7378/559

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 7804/17,7378/559

Given fractions are 7804/17,7378/559

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 7804,7378

Greatest Common Factor of Numerators i.e. GCF of 7804,7378 is 2 .

LCM of Denominators means LCM of 17,559 as per the given fractions.

LCM of 17,559 is 9503 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7804,7378

GCF of Fractions 7804/17,7378/559 is 2/9503

2 7804, 7378
3902, 3689

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7804,7378 By Matching Biggest Common Factor Method

Greatest Common Factor of 7804,7378 By Matching Biggest Common Factor Method

Factors of 7804

List of positive integer factors of 7804 that divides 7804 without a remainder.

1,2,4,1951,3902,7804

Factors of 7378

List of positive integer factors of 7378 that divides 7378 without a remainder.

1,2,7,14,17,31,34,62,119,217,238,434,527,1054,3689,7378

Greatest Common Factor

We found the factors 7804,7378 . The biggest common factor number is the GCF number.
So the greatest common factor 7804,7378 is 2.

Lets's calculate LCM of 17,559

Given numbers has no common factors except 1. So, there LCM is their product i.e 9503

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9503

Therefore, the GCF of Fractions 7804/17,7378/559 is 2/9503

Least Common Multiple of 17,559 with GCF Formula

Least Common Multiple of 17,559 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 17,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,559) = 1

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

GCF(17,559) x common factors =1 x 1 = 1

LCM(17,559) = ( 17 × 559 ) / 1

LCM(17,559) = 9503 / 1

LCM(17,559) = 9503


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 7804/17, 7378/559

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 7804/17, 7378/559?

Answer: GCF of Numerators as per given numbers 7804/17, 7378/559 is

GCF of Numerators i.e. for 7804,7378 is 2

LCM of denominators i.e. for 17,559 is 9503.

Thus, GCF of Fractions is 2/9503.Finally, GCF of Fractions for 7804/17, 7378/559 is 2/9503.