How to Find GCF of 63/578, 79/661, 627/454?

GCF of 63/578, 79/661, 627/454

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 63/578, 79/661, 627/454 i.e 1/86727166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 63/578, 79/661, 627/454.

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 63/578,79/661,627/454?

Given fractions are 63/578,79/661,627/454

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 63/578,79/661,627/454, numerators are 63,79,627

Denominators are 578,661,454

The GCF of 63,79,627 is 1 .

LCM of 578,661,454 is 86727166.

The greatest common factor of 63/578,79/661,627/454 = [GCF of 63,79,627]/[LCM of 578,661,454]= 1/86727166

Therefore, the GCF of 63/578,79/661,627/454 is 1/86727166.

Greatest Common Factor of 63,79,627

To find the highest common factor of 63,79,627, we have to find the factors of both numbers and list the highest common factor.

The factors of 63 are 1, 3, 7, 9, 21, 63

The factors of 79 are 1, 79

The factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627

The HCF of 63,79,627 is 1.

Lets's calculate GCF of 63,79,627

Greatest Common Factor (GCF) of 63,79,627 By Common Division

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

Greatest Common Factor of 63,79,627 By Matching Biggest Common Factor Method

Now, list down the factors of 63

1,3,7,9,21,63

Now, list down the factors of 79

1,79

Now, list down the factors of 627

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 63,79,627 . The biggest common factor number is the GCF number.
So the greatest common factor 63,79,627 is 1.

Lets's calculate LCM of 578,661,454

Lowest Common Multiple of 578,661,454 using Common Division

2	578, 661, 454
	289, 661, 227

∴ So the LCM of the given numbers is 2 x 289 x 661 x 227 = 86727166

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86727166

Therefore, the GCF of Fractions 63/578,79/661,627/454 is 1/86727166

Least Common Multiple of 578,661,454 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 578,661,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,661,454) = 1

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

GCF(578,661,454) x common factors =1 x 2 = 2

LCM(578,661,454) = ( 578 × 661 × 454 ) / 2

LCM(578,661,454) = 173454332 / 2

LCM(578,661,454) = 86727166

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 63/578, 79/661, 627/454

1. What is the HCF of 63,79,627?

The HCF of 63,79,627 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 63/578, 79/661, 627/454?

Answer: GCF of Numerators as per given numbers 63/578, 79/661, 627/454 is

GCF of Numerators i.e. for 63,79,627 is 1

LCM of denominators i.e. for 578,661,454 is 86727166.

Thus, GCF of Fractions is 1/86727166.Finally, GCF of Fractions for 63/578, 79/661, 627/454 is 1/86727166.