How to Find GCF of 2594/316, 1321/1018?

GCF of 2594/316, 1321/1018

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 2594/316, 1321/1018 i.e 1/160844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2594/316, 1321/1018.

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 2594/316,1321/1018?

Given fractions are 2594/316,1321/1018

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 2594/316,1321/1018, numerators are 2594,1321

Denominators are 316,1018

The GCF of 2594,1321 is 1 .

LCM of 316,1018 is 160844.

The greatest common factor of 2594/316,1321/1018 = [GCF of 2594,1321]/[LCM of 316,1018]= 1/160844

Therefore, the GCF of 2594/316,1321/1018 is 1/160844.

Greatest Common Factor of 2594,1321

To find the highest common factor of 2594,1321, we have to find the factors of both numbers and list the highest common factor.

The factors of 2594 are 1, 2, 1297, 2594

The factors of 1321 are 1, 1321

The HCF of 2594,1321 is 1.

Lets's calculate GCF of 2594,1321

Greatest Common Factor (GCF) of 2594,1321 By Common Division

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

Greatest Common Factor of 2594,1321 By Matching Biggest Common Factor Method

Now, list down the factors of 2594

1,2,1297,2594

Now, list down the factors of 1321

1,1321

Greatest Common Factor

We found the factors 2594,1321 . The biggest common factor number is the GCF number.
So the greatest common factor 2594,1321 is 1.

Lets's calculate LCM of 316,1018

Lowest Common Multiple of 316,1018 using Common Division

2	316, 1018
	158, 509

∴ So the LCM of the given numbers is 2 x 158 x 509 = 160844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160844

Therefore, the GCF of Fractions 2594/316,1321/1018 is 1/160844

Least Common Multiple of 316,1018 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 316,1018 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,1018) = 2

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

GCF(316,1018) x common factors =2 x 1 = 2

LCM(316,1018) = ( 316 × 1018 ) / 2

LCM(316,1018) = 321688 / 2

LCM(316,1018) = 160844

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FAQs on GCF of Fractions of 2594/316, 1321/1018

1. What is the HCF of 2594,1321?

The HCF of 2594,1321 is 1

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 2594/316, 1321/1018?

Answer: GCF of Numerators as per given numbers 2594/316, 1321/1018 is

GCF of Numerators i.e. for 2594,1321 is 1

LCM of denominators i.e. for 316,1018 is 160844.

Thus, GCF of Fractions is 1/160844.Finally, GCF of Fractions for 2594/316, 1321/1018 is 1/160844.