How to Find GCF of 27/66, 562/77, 179/548?

GCF of 27/66, 562/77, 179/548

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 27/66, 562/77, 179/548 i.e 1/126588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/66, 562/77, 179/548.

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 27/66,562/77,179/548?

Given fractions are 27/66,562/77,179/548

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 27/66,562/77,179/548, numerators are 27,562,179

Denominators are 66,77,548

The GCF of 27,562,179 is 1 .

LCM of 66,77,548 is 126588.

The greatest common factor of 27/66,562/77,179/548 = [GCF of 27,562,179]/[LCM of 66,77,548]= 1/126588

Therefore, the GCF of 27/66,562/77,179/548 is 1/126588.

Greatest Common Factor of 27,562,179

To find the highest common factor of 27,562,179, 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 562 are 1, 2, 281, 562

The factors of 179 are 1, 179

The HCF of 27,562,179 is 1.

Lets's calculate GCF of 27,562,179

Greatest Common Factor (GCF) of 27,562,179 By Common Division

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

Greatest Common Factor of 27,562,179 By Matching Biggest Common Factor Method

Now, list down the factors of 27

1,3,9,27

Now, list down the factors of 562

1,2,281,562

Now, list down the factors of 179

1,179

Greatest Common Factor

We found the factors 27,562,179 . The biggest common factor number is the GCF number.
So the greatest common factor 27,562,179 is 1.

Lets's calculate LCM of 66,77,548

Lowest Common Multiple of 66,77,548 using Common Division

2	66, 77, 548
11	33, 77, 274
	3, 7, 274

∴ So the LCM of the given numbers is 2 x 11 x 3 x 7 x 274 = 126588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126588

Therefore, the GCF of Fractions 27/66,562/77,179/548 is 1/126588

Least Common Multiple of 66,77,548 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 66,77,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,77,548) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(66,77,548) x common factors =1 x 22 = 22

LCM(66,77,548) = ( 66 × 77 × 548 ) / 22

LCM(66,77,548) = 2784936 / 22

LCM(66,77,548) = 126588

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FAQs on GCF of Fractions of 27/66, 562/77, 179/548

1. What is the HCF of 27,562,179?

The HCF of 27,562,179 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 27/66, 562/77, 179/548?

Answer: GCF of Numerators as per given numbers 27/66, 562/77, 179/548 is

GCF of Numerators i.e. for 27,562,179 is 1

LCM of denominators i.e. for 66,77,548 is 126588.

Thus, GCF of Fractions is 1/126588.Finally, GCF of Fractions for 27/66, 562/77, 179/548 is 1/126588.