How to Find GCF of 2582/359, 7474/6338?

GCF of 2582/359, 7474/6338

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 2582/359, 7474/6338 i.e 2/2275342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2582/359, 7474/6338.

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 2582/359,7474/6338?

Given fractions are 2582/359,7474/6338

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 2582/359,7474/6338, numerators are 2582,7474

Denominators are 359,6338

The GCF of 2582,7474 is 2 .

LCM of 359,6338 is 2275342.

The greatest common factor of 2582/359,7474/6338 = [GCF of 2582,7474]/[LCM of 359,6338]= 2/2275342

Therefore, the GCF of 2582/359,7474/6338 is 2/2275342.

Greatest Common Factor of 2582,7474

To find the highest common factor of 2582,7474, we have to find the factors of both numbers and list the highest common factor.

The factors of 2582 are 1, 2, 1291, 2582

The factors of 7474 are 1, 2, 37, 74, 101, 202, 3737, 7474

The HCF of 2582,7474 is 2.

Lets's calculate GCF of 2582,7474

Greatest Common Factor (GCF) of 2582,7474 By Common Division

2	2582, 7474
	1291, 3737

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

Greatest Common Factor of 2582,7474 By Matching Biggest Common Factor Method

Now, list down the factors of 2582

1,2,1291,2582

Now, list down the factors of 7474

1,2,37,74,101,202,3737,7474

Greatest Common Factor

We found the factors 2582,7474 . The biggest common factor number is the GCF number.
So the greatest common factor 2582,7474 is 2.

Lets's calculate LCM of 359,6338

Lowest Common Multiple of 359,6338 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2275342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2275342

Therefore, the GCF of Fractions 2582/359,7474/6338 is 2/2275342

Least Common Multiple of 359,6338 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 359,6338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,6338) = 1

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

GCF(359,6338) x common factors =1 x 1 = 1

LCM(359,6338) = ( 359 × 6338 ) / 1

LCM(359,6338) = 2275342 / 1

LCM(359,6338) = 2275342

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FAQs on GCF of Fractions of 2582/359, 7474/6338

1. What is the HCF of 2582,7474?

The HCF of 2582,7474 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 2582/359, 7474/6338?

Answer: GCF of Numerators as per given numbers 2582/359, 7474/6338 is

GCF of Numerators i.e. for 2582,7474 is 2

LCM of denominators i.e. for 359,6338 is 2275342.

Thus, GCF of Fractions is 2/2275342.Finally, GCF of Fractions for 2582/359, 7474/6338 is 2/2275342.