How to Find GCF of 66/271, 65/177, 647/106?

GCF of 66/271, 65/177, 647/106

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 66/271, 65/177, 647/106 i.e 1/5084502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/271, 65/177, 647/106.

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 66/271,65/177,647/106?

Given fractions are 66/271,65/177,647/106

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 66/271,65/177,647/106, numerators are 66,65,647

Denominators are 271,177,106

The GCF of 66,65,647 is 1 .

LCM of 271,177,106 is 5084502.

The greatest common factor of 66/271,65/177,647/106 = [GCF of 66,65,647]/[LCM of 271,177,106]= 1/5084502

Therefore, the GCF of 66/271,65/177,647/106 is 1/5084502.

Greatest Common Factor of 66,65,647

To find the highest common factor of 66,65,647, we have to find the factors of both numbers and list the highest common factor.

The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66

The factors of 65 are 1, 5, 13, 65

The factors of 647 are 1, 647

The HCF of 66,65,647 is 1.

Lets's calculate GCF of 66,65,647

Greatest Common Factor (GCF) of 66,65,647 By Common Division

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

Greatest Common Factor of 66,65,647 By Matching Biggest Common Factor Method

Now, list down the factors of 66

1,2,3,6,11,22,33,66

Now, list down the factors of 65

1,5,13,65

Now, list down the factors of 647

1,647

Greatest Common Factor

We found the factors 66,65,647 . The biggest common factor number is the GCF number.
So the greatest common factor 66,65,647 is 1.

Lets's calculate LCM of 271,177,106

Lowest Common Multiple of 271,177,106 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5084502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5084502

Therefore, the GCF of Fractions 66/271,65/177,647/106 is 1/5084502

Least Common Multiple of 271,177,106 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 271,177,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,177,106) = 1

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

GCF(271,177,106) x common factors =1 x 1 = 1

LCM(271,177,106) = ( 271 × 177 × 106 ) / 1

LCM(271,177,106) = 5084502 / 1

LCM(271,177,106) = 5084502

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FAQs on GCF of Fractions of 66/271, 65/177, 647/106

1. What is the HCF of 66,65,647?

The HCF of 66,65,647 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 66/271, 65/177, 647/106?

Answer: GCF of Numerators as per given numbers 66/271, 65/177, 647/106 is

GCF of Numerators i.e. for 66,65,647 is 1

LCM of denominators i.e. for 271,177,106 is 5084502.

Thus, GCF of Fractions is 1/5084502.Finally, GCF of Fractions for 66/271, 65/177, 647/106 is 1/5084502.