How to Find GCF of 27/488, 911/692, 466/559?

GCF of 27/488, 911/692, 466/559

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 27/488, 911/692, 466/559 i.e 1/47193016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/488, 911/692, 466/559.

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 27/488,911/692,466/559?

Given fractions are 27/488,911/692,466/559

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 27/488,911/692,466/559, numerators are 27,911,466

Denominators are 488,692,559

The GCF of 27,911,466 is 1 .

LCM of 488,692,559 is 47193016.

The greatest common factor of 27/488,911/692,466/559 = [GCF of 27,911,466]/[LCM of 488,692,559]= 1/47193016

Therefore, the GCF of 27/488,911/692,466/559 is 1/47193016.

Greatest Common Factor of 27,911,466

To find the highest common factor of 27,911,466, we have to find the factors of both numbers and list the highest common factor.

The factors of 27 are 1, 3, 9, 27

The factors of 911 are 1, 911

The factors of 466 are 1, 2, 233, 466

The HCF of 27,911,466 is 1.

Lets's calculate GCF of 27,911,466

Greatest Common Factor (GCF) of 27,911,466 By Common Division

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

Greatest Common Factor of 27,911,466 By Matching Biggest Common Factor Method

Now, list down the factors of 27

1,3,9,27

Now, list down the factors of 911

1,911

Now, list down the factors of 466

1,2,233,466

Greatest Common Factor

We found the factors 27,911,466 . The biggest common factor number is the GCF number.
So the greatest common factor 27,911,466 is 1.

Lets's calculate LCM of 488,692,559

Lowest Common Multiple of 488,692,559 using Common Division

2	488, 692, 559
2	244, 346, 559
	122, 173, 559

∴ So the LCM of the given numbers is 2 x 2 x 122 x 173 x 559 = 47193016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47193016

Therefore, the GCF of Fractions 27/488,911/692,466/559 is 1/47193016

Least Common Multiple of 488,692,559 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 488,692,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,692,559) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(488,692,559) x common factors =1 x 4 = 4

LCM(488,692,559) = ( 488 × 692 × 559 ) / 4

LCM(488,692,559) = 188772064 / 4

LCM(488,692,559) = 47193016

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 27/488, 911/692, 466/559

1. What is the HCF of 27,911,466?

The HCF of 27,911,466 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 27/488, 911/692, 466/559?

Answer: GCF of Numerators as per given numbers 27/488, 911/692, 466/559 is

GCF of Numerators i.e. for 27,911,466 is 1

LCM of denominators i.e. for 488,692,559 is 47193016.

Thus, GCF of Fractions is 1/47193016.Finally, GCF of Fractions for 27/488, 911/692, 466/559 is 1/47193016.