How to Find GCF of 66/918, 22/658, 147/638?

GCF of 66/918, 22/658, 147/638

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 66/918, 22/658, 147/638 i.e 1/96345018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/918, 22/658, 147/638.

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 66/918,22/658,147/638?

Given fractions are 66/918,22/658,147/638

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 66/918,22/658,147/638, numerators are 66,22,147

Denominators are 918,658,638

The GCF of 66,22,147 is 1 .

LCM of 918,658,638 is 96345018.

The greatest common factor of 66/918,22/658,147/638 = [GCF of 66,22,147]/[LCM of 918,658,638]= 1/96345018

Therefore, the GCF of 66/918,22/658,147/638 is 1/96345018.

Greatest Common Factor of 66,22,147

To find the highest common factor of 66,22,147, 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 22 are 1, 2, 11, 22

The factors of 147 are 1, 3, 7, 21, 49, 147

The HCF of 66,22,147 is 1.

Lets's calculate GCF of 66,22,147

Greatest Common Factor (GCF) of 66,22,147 By Common Division

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

Greatest Common Factor of 66,22,147 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 22

1,2,11,22

Now, list down the factors of 147

1,3,7,21,49,147

Greatest Common Factor

We found the factors 66,22,147 . The biggest common factor number is the GCF number.
So the greatest common factor 66,22,147 is 1.

Lets's calculate LCM of 918,658,638

Lowest Common Multiple of 918,658,638 using Common Division

2	918, 658, 638
	459, 329, 319

∴ So the LCM of the given numbers is 2 x 459 x 329 x 319 = 96345018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96345018

Therefore, the GCF of Fractions 66/918,22/658,147/638 is 1/96345018

Least Common Multiple of 918,658,638 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 918,658,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,658,638) = 2

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

GCF(918,658,638) x common factors =2 x 2 = 4

LCM(918,658,638) = ( 918 × 658 × 638 ) / 4

LCM(918,658,638) = 385380072 / 4

LCM(918,658,638) = 96345018

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 66/918, 22/658, 147/638

1. What is the HCF of 66,22,147?

The HCF of 66,22,147 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 66/918, 22/658, 147/638?

Answer: GCF of Numerators as per given numbers 66/918, 22/658, 147/638 is

GCF of Numerators i.e. for 66,22,147 is 1

LCM of denominators i.e. for 918,658,638 is 96345018.

Thus, GCF of Fractions is 1/96345018.Finally, GCF of Fractions for 66/918, 22/658, 147/638 is 1/96345018.