How to Find GCF of 2594/383, 5816/3126?

GCF of 2594/383, 5816/3126

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 2594/383, 5816/3126 i.e 2/1197258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2594/383, 5816/3126.

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 2594/383,5816/3126?

Given fractions are 2594/383,5816/3126

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 2594/383,5816/3126, numerators are 2594,5816

Denominators are 383,3126

The GCF of 2594,5816 is 2 .

LCM of 383,3126 is 1197258.

The greatest common factor of 2594/383,5816/3126 = [GCF of 2594,5816]/[LCM of 383,3126]= 2/1197258

Therefore, the GCF of 2594/383,5816/3126 is 2/1197258.

Greatest Common Factor of 2594,5816

To find the highest common factor of 2594,5816, 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 5816 are 1, 2, 4, 8, 727, 1454, 2908, 5816

The HCF of 2594,5816 is 2.

Lets's calculate GCF of 2594,5816

Greatest Common Factor (GCF) of 2594,5816 By Common Division

2	2594, 5816
	1297, 2908

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

Greatest Common Factor of 2594,5816 By Matching Biggest Common Factor Method

Now, list down the factors of 2594

1,2,1297,2594

Now, list down the factors of 5816

1,2,4,8,727,1454,2908,5816

Greatest Common Factor

We found the factors 2594,5816 . The biggest common factor number is the GCF number.
So the greatest common factor 2594,5816 is 2.

Lets's calculate LCM of 383,3126

Lowest Common Multiple of 383,3126 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1197258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1197258

Therefore, the GCF of Fractions 2594/383,5816/3126 is 2/1197258

Least Common Multiple of 383,3126 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 383,3126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,3126) = 1

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

GCF(383,3126) x common factors =1 x 1 = 1

LCM(383,3126) = ( 383 × 3126 ) / 1

LCM(383,3126) = 1197258 / 1

LCM(383,3126) = 1197258

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FAQs on GCF of Fractions of 2594/383, 5816/3126

1. What is the HCF of 2594,5816?

The HCF of 2594,5816 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 2594/383, 5816/3126?

Answer: GCF of Numerators as per given numbers 2594/383, 5816/3126 is

GCF of Numerators i.e. for 2594,5816 is 2

LCM of denominators i.e. for 383,3126 is 1197258.

Thus, GCF of Fractions is 2/1197258.Finally, GCF of Fractions for 2594/383, 5816/3126 is 2/1197258.