How to Find GCF of 66/33, 917/63, 643/663?

GCF of 66/33, 917/63, 643/663

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 66/33, 917/63, 643/663 i.e 1/153153 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/33, 917/63, 643/663.

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 66/33,917/63,643/663?

Given fractions are 66/33,917/63,643/663

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 66/33,917/63,643/663, numerators are 66,917,643

Denominators are 33,63,663

The GCF of 66,917,643 is 1 .

LCM of 33,63,663 is 153153.

The greatest common factor of 66/33,917/63,643/663 = [GCF of 66,917,643]/[LCM of 33,63,663]= 1/153153

Therefore, the GCF of 66/33,917/63,643/663 is 1/153153.

Greatest Common Factor of 66,917,643

To find the highest common factor of 66,917,643, 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 917 are 1, 7, 131, 917

The factors of 643 are 1, 643

The HCF of 66,917,643 is 1.

Lets's calculate GCF of 66,917,643

Greatest Common Factor (GCF) of 66,917,643 By Common Division

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

Greatest Common Factor of 66,917,643 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 917

1,7,131,917

Now, list down the factors of 643

1,643

Greatest Common Factor

We found the factors 66,917,643 . The biggest common factor number is the GCF number.
So the greatest common factor 66,917,643 is 1.

Lets's calculate LCM of 33,63,663

Lowest Common Multiple of 33,63,663 using Common Division

3	33, 63, 663
	11, 21, 221

∴ So the LCM of the given numbers is 3 x 11 x 21 x 221 = 153153

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153153

Therefore, the GCF of Fractions 66/33,917/63,643/663 is 1/153153

Least Common Multiple of 33,63,663 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 33,63,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,63,663) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(33,63,663) x common factors =3 x 3 = 9

LCM(33,63,663) = ( 33 × 63 × 663 ) / 9

LCM(33,63,663) = 1378377 / 9

LCM(33,63,663) = 153153

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 66/33, 917/63, 643/663

1. What is the HCF of 66,917,643?

The HCF of 66,917,643 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 66/33, 917/63, 643/663?

Answer: GCF of Numerators as per given numbers 66/33, 917/63, 643/663 is

GCF of Numerators i.e. for 66,917,643 is 1

LCM of denominators i.e. for 33,63,663 is 153153.

Thus, GCF of Fractions is 1/153153.Finally, GCF of Fractions for 66/33, 917/63, 643/663 is 1/153153.