How to Find GCF of 1594/309, 6582/323?

GCF of 1594/309, 6582/323

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 1594/309, 6582/323 i.e 2/99807 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1594/309, 6582/323.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 1594/309,6582/323?

Given fractions are 1594/309,6582/323

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 1594/309,6582/323, numerators are 1594,6582

Denominators are 309,323

The GCF of 1594,6582 is 2 .

LCM of 309,323 is 99807.

The greatest common factor of 1594/309,6582/323 = [GCF of 1594,6582]/[LCM of 309,323]= 2/99807

Therefore, the GCF of 1594/309,6582/323 is 2/99807.

Greatest Common Factor of 1594,6582

To find the highest common factor of 1594,6582, we have to find the factors of both numbers and list the highest common factor.

The factors of 1594 are 1, 2, 797, 1594

The factors of 6582 are 1, 2, 3, 6, 1097, 2194, 3291, 6582

The HCF of 1594,6582 is 2.

Lets's calculate GCF of 1594,6582

Greatest Common Factor (GCF) of 1594,6582 By Common Division

2	1594, 6582
	797, 3291

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

Greatest Common Factor of 1594,6582 By Matching Biggest Common Factor Method

Now, list down the factors of 1594

1,2,797,1594

Now, list down the factors of 6582

1,2,3,6,1097,2194,3291,6582

Greatest Common Factor

We found the factors 1594,6582 . The biggest common factor number is the GCF number.
So the greatest common factor 1594,6582 is 2.

Lets's calculate LCM of 309,323

Lowest Common Multiple of 309,323 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 99807

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/99807

Therefore, the GCF of Fractions 1594/309,6582/323 is 2/99807

Least Common Multiple of 309,323 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 309,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,323) = 1

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

GCF(309,323) x common factors =1 x 1 = 1

LCM(309,323) = ( 309 × 323 ) / 1

LCM(309,323) = 99807 / 1

LCM(309,323) = 99807

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1594/309, 6582/323

1. What is the HCF of 1594,6582?

The HCF of 1594,6582 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 1594/309, 6582/323?

Answer: GCF of Numerators as per given numbers 1594/309, 6582/323 is

GCF of Numerators i.e. for 1594,6582 is 2

LCM of denominators i.e. for 309,323 is 99807.

Thus, GCF of Fractions is 2/99807.Finally, GCF of Fractions for 1594/309, 6582/323 is 2/99807.