How to Find GCF of 3582/538, 3266/6481?

GCF of 3582/538, 3266/6481

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 3582/538, 3266/6481 i.e 2/3486778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3582/538, 3266/6481.

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 3582/538,3266/6481?

Given fractions are 3582/538,3266/6481

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 3582/538,3266/6481, numerators are 3582,3266

Denominators are 538,6481

The GCF of 3582,3266 is 2 .

LCM of 538,6481 is 3486778.

The greatest common factor of 3582/538,3266/6481 = [GCF of 3582,3266]/[LCM of 538,6481]= 2/3486778

Therefore, the GCF of 3582/538,3266/6481 is 2/3486778.

Greatest Common Factor of 3582,3266

To find the highest common factor of 3582,3266, we have to find the factors of both numbers and list the highest common factor.

The factors of 3582 are 1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791, 3582

The factors of 3266 are 1, 2, 23, 46, 71, 142, 1633, 3266

The HCF of 3582,3266 is 2.

Lets's calculate GCF of 3582,3266

Greatest Common Factor (GCF) of 3582,3266 By Common Division

2	3582, 3266
	1791, 1633

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

Greatest Common Factor of 3582,3266 By Matching Biggest Common Factor Method

Now, list down the factors of 3582

1,2,3,6,9,18,199,398,597,1194,1791,3582

Now, list down the factors of 3266

1,2,23,46,71,142,1633,3266

Greatest Common Factor

We found the factors 3582,3266 . The biggest common factor number is the GCF number.
So the greatest common factor 3582,3266 is 2.

Lets's calculate LCM of 538,6481

Lowest Common Multiple of 538,6481 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3486778

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3486778

Therefore, the GCF of Fractions 3582/538,3266/6481 is 2/3486778

Least Common Multiple of 538,6481 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 538,6481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,6481) = 1

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

GCF(538,6481) x common factors =1 x 1 = 1

LCM(538,6481) = ( 538 × 6481 ) / 1

LCM(538,6481) = 3486778 / 1

LCM(538,6481) = 3486778

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FAQs on GCF of Fractions of 3582/538, 3266/6481

1. What is the HCF of 3582,3266?

The HCF of 3582,3266 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 3582/538, 3266/6481?

Answer: GCF of Numerators as per given numbers 3582/538, 3266/6481 is

GCF of Numerators i.e. for 3582,3266 is 2

LCM of denominators i.e. for 538,6481 is 3486778.

Thus, GCF of Fractions is 2/3486778.Finally, GCF of Fractions for 3582/538, 3266/6481 is 2/3486778.