How to Find GCF of 574/664, 3666/5576?

GCF of 574/664, 3666/5576

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 574/664, 3666/5576 i.e 2/462808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 574/664, 3666/5576.

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 574/664,3666/5576?

Given fractions are 574/664,3666/5576

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 574/664,3666/5576, numerators are 574,3666

Denominators are 664,5576

The GCF of 574,3666 is 2 .

LCM of 664,5576 is 462808.

The greatest common factor of 574/664,3666/5576 = [GCF of 574,3666]/[LCM of 664,5576]= 2/462808

Therefore, the GCF of 574/664,3666/5576 is 2/462808.

Greatest Common Factor of 574,3666

To find the highest common factor of 574,3666, we have to find the factors of both numbers and list the highest common factor.

The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574

The factors of 3666 are 1, 2, 3, 6, 13, 26, 39, 47, 78, 94, 141, 282, 611, 1222, 1833, 3666

The HCF of 574,3666 is 2.

Lets's calculate GCF of 574,3666

Greatest Common Factor (GCF) of 574,3666 By Common Division

2	574, 3666
	287, 1833

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

Greatest Common Factor of 574,3666 By Matching Biggest Common Factor Method

Now, list down the factors of 574

1,2,7,14,41,82,287,574

Now, list down the factors of 3666

1,2,3,6,13,26,39,47,78,94,141,282,611,1222,1833,3666

Greatest Common Factor

We found the factors 574,3666 . The biggest common factor number is the GCF number.
So the greatest common factor 574,3666 is 2.

Lets's calculate LCM of 664,5576

Lowest Common Multiple of 664,5576 using Common Division

2	664, 5576
2	332, 2788
2	166, 1394
	83, 697

∴ So the LCM of the given numbers is 2 x 2 x 2 x 83 x 697 = 462808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/462808

Therefore, the GCF of Fractions 574/664,3666/5576 is 2/462808

Least Common Multiple of 664,5576 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 664,5576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,5576) = 8

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

GCF(664,5576) x common factors =8 x 1 = 8

LCM(664,5576) = ( 664 × 5576 ) / 8

LCM(664,5576) = 3702464 / 8

LCM(664,5576) = 462808

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FAQs on GCF of Fractions of 574/664, 3666/5576

1. What is the HCF of 574,3666?

The HCF of 574,3666 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 574/664, 3666/5576?

Answer: GCF of Numerators as per given numbers 574/664, 3666/5576 is

GCF of Numerators i.e. for 574,3666 is 2

LCM of denominators i.e. for 664,5576 is 462808.

Thus, GCF of Fractions is 2/462808.Finally, GCF of Fractions for 574/664, 3666/5576 is 2/462808.