How to Find GCF of 284/984, 663/208?

GCF of 284/984, 663/208

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 284/984, 663/208 i.e 1/25584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 284/984, 663/208.

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 284/984,663/208?

Given fractions are 284/984,663/208

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 284/984,663/208, numerators are 284,663

Denominators are 984,208

The GCF of 284,663 is 1 .

LCM of 984,208 is 25584.

The greatest common factor of 284/984,663/208 = [GCF of 284,663]/[LCM of 984,208]= 1/25584

Therefore, the GCF of 284/984,663/208 is 1/25584.

Greatest Common Factor of 284,663

To find the highest common factor of 284,663, we have to find the factors of both numbers and list the highest common factor.

The factors of 284 are 1, 2, 4, 71, 142, 284

The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663

The HCF of 284,663 is 1.

Lets's calculate GCF of 284,663

Greatest Common Factor (GCF) of 284,663 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 284,663 By Matching Biggest Common Factor Method

Now, list down the factors of 284

1,2,4,71,142,284

Now, list down the factors of 663

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 284,663 . The biggest common factor number is the GCF number.
So the greatest common factor 284,663 is 1.

Lets's calculate LCM of 984,208

Lowest Common Multiple of 984,208 using Common Division

2	984, 208
2	492, 104
2	246, 52
	123, 26

∴ So the LCM of the given numbers is 2 x 2 x 2 x 123 x 26 = 25584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25584

Therefore, the GCF of Fractions 284/984,663/208 is 1/25584

Least Common Multiple of 984,208 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 984,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,208) = 8

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

GCF(984,208) x common factors =8 x 1 = 8

LCM(984,208) = ( 984 × 208 ) / 8

LCM(984,208) = 204672 / 8

LCM(984,208) = 25584

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FAQs on GCF of Fractions of 284/984, 663/208

1. What is the HCF of 284,663?

The HCF of 284,663 is 1

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 284/984, 663/208?

Answer: GCF of Numerators as per given numbers 284/984, 663/208 is

GCF of Numerators i.e. for 284,663 is 1

LCM of denominators i.e. for 984,208 is 25584.

Thus, GCF of Fractions is 1/25584.Finally, GCF of Fractions for 284/984, 663/208 is 1/25584.