How to Find GCF of 668/204, 480/566?

GCF of 668/204, 480/566

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 668/204, 480/566 i.e 4/57732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 668/204, 480/566.

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 668/204,480/566?

Given fractions are 668/204,480/566

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 668/204,480/566, numerators are 668,480

Denominators are 204,566

The GCF of 668,480 is 4 .

LCM of 204,566 is 57732.

The greatest common factor of 668/204,480/566 = [GCF of 668,480]/[LCM of 204,566]= 4/57732

Therefore, the GCF of 668/204,480/566 is 4/57732.

Greatest Common Factor of 668,480

To find the highest common factor of 668,480, we have to find the factors of both numbers and list the highest common factor.

The factors of 668 are 1, 2, 4, 167, 334, 668

The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

The HCF of 668,480 is 4.

Lets's calculate GCF of 668,480

Greatest Common Factor (GCF) of 668,480 By Common Division

2	668, 480
2	334, 240
	167, 120

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 668,480 By Matching Biggest Common Factor Method

Now, list down the factors of 668

1,2,4,167,334,668

Now, list down the factors of 480

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 668,480 . The biggest common factor number is the GCF number.
So the greatest common factor 668,480 is 4.

Lets's calculate LCM of 204,566

Lowest Common Multiple of 204,566 using Common Division

2	204, 566
	102, 283

∴ So the LCM of the given numbers is 2 x 102 x 283 = 57732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/57732

Therefore, the GCF of Fractions 668/204,480/566 is 4/57732

Least Common Multiple of 204,566 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 204,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,566) = 2

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

GCF(204,566) x common factors =2 x 1 = 2

LCM(204,566) = ( 204 × 566 ) / 2

LCM(204,566) = 115464 / 2

LCM(204,566) = 57732

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FAQs on GCF of Fractions of 668/204, 480/566

1. What is the HCF of 668,480?

The HCF of 668,480 is 4

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 668/204, 480/566?

Answer: GCF of Numerators as per given numbers 668/204, 480/566 is

GCF of Numerators i.e. for 668,480 is 4

LCM of denominators i.e. for 204,566 is 57732.

Thus, GCF of Fractions is 4/57732.Finally, GCF of Fractions for 668/204, 480/566 is 4/57732.