How to Find GCF of 54/563, 89/838, 336/808?

GCF of 54/563, 89/838, 336/808

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 54/563, 89/838, 336/808 i.e 1/190604776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/563, 89/838, 336/808.

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 54/563,89/838,336/808?

Given fractions are 54/563,89/838,336/808

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 54/563,89/838,336/808, numerators are 54,89,336

Denominators are 563,838,808

The GCF of 54,89,336 is 1 .

LCM of 563,838,808 is 190604776.

The greatest common factor of 54/563,89/838,336/808 = [GCF of 54,89,336]/[LCM of 563,838,808]= 1/190604776

Therefore, the GCF of 54/563,89/838,336/808 is 1/190604776.

Greatest Common Factor of 54,89,336

To find the highest common factor of 54,89,336, we have to find the factors of both numbers and list the highest common factor.

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

The factors of 89 are 1, 89

The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

The HCF of 54,89,336 is 1.

Lets's calculate GCF of 54,89,336

Greatest Common Factor (GCF) of 54,89,336 By Common Division

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

Greatest Common Factor of 54,89,336 By Matching Biggest Common Factor Method

Now, list down the factors of 54

1,2,3,6,9,18,27,54

Now, list down the factors of 89

1,89

Now, list down the factors of 336

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 54,89,336 . The biggest common factor number is the GCF number.
So the greatest common factor 54,89,336 is 1.

Lets's calculate LCM of 563,838,808

Lowest Common Multiple of 563,838,808 using Common Division

2	563, 838, 808
	563, 419, 404

∴ So the LCM of the given numbers is 2 x 563 x 419 x 404 = 190604776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190604776

Therefore, the GCF of Fractions 54/563,89/838,336/808 is 1/190604776

Least Common Multiple of 563,838,808 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 563,838,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,838,808) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(563,838,808) x common factors =1 x 2 = 2

LCM(563,838,808) = ( 563 × 838 × 808 ) / 2

LCM(563,838,808) = 381209552 / 2

LCM(563,838,808) = 190604776

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FAQs on GCF of Fractions of 54/563, 89/838, 336/808

1. What is the HCF of 54,89,336?

The HCF of 54,89,336 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 54/563, 89/838, 336/808?

Answer: GCF of Numerators as per given numbers 54/563, 89/838, 336/808 is

GCF of Numerators i.e. for 54,89,336 is 1

LCM of denominators i.e. for 563,838,808 is 190604776.

Thus, GCF of Fractions is 1/190604776.Finally, GCF of Fractions for 54/563, 89/838, 336/808 is 1/190604776.