How to Find GCF of 66/20, 221/26, 767/826?

GCF of 66/20, 221/26, 767/826

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 66/20, 221/26, 767/826 i.e 1/107380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/20, 221/26, 767/826.

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 66/20,221/26,767/826?

Given fractions are 66/20,221/26,767/826

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 66/20,221/26,767/826, numerators are 66,221,767

Denominators are 20,26,826

The GCF of 66,221,767 is 1 .

LCM of 20,26,826 is 107380.

The greatest common factor of 66/20,221/26,767/826 = [GCF of 66,221,767]/[LCM of 20,26,826]= 1/107380

Therefore, the GCF of 66/20,221/26,767/826 is 1/107380.

Greatest Common Factor of 66,221,767

To find the highest common factor of 66,221,767, 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 221 are 1, 13, 17, 221

The factors of 767 are 1, 13, 59, 767

The HCF of 66,221,767 is 1.

Lets's calculate GCF of 66,221,767

Greatest Common Factor (GCF) of 66,221,767 By Common Division

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

Greatest Common Factor of 66,221,767 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 221

1,13,17,221

Now, list down the factors of 767

1,13,59,767

Greatest Common Factor

We found the factors 66,221,767 . The biggest common factor number is the GCF number.
So the greatest common factor 66,221,767 is 1.

Lets's calculate LCM of 20,26,826

Lowest Common Multiple of 20,26,826 using Common Division

2	20, 26, 826
	10, 13, 413

∴ So the LCM of the given numbers is 2 x 10 x 13 x 413 = 107380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107380

Therefore, the GCF of Fractions 66/20,221/26,767/826 is 1/107380

Least Common Multiple of 20,26,826 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 20,26,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,26,826) = 2

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

GCF(20,26,826) x common factors =2 x 2 = 4

LCM(20,26,826) = ( 20 × 26 × 826 ) / 4

LCM(20,26,826) = 429520 / 4

LCM(20,26,826) = 107380

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 66/20, 221/26, 767/826

1. What is the HCF of 66,221,767?

The HCF of 66,221,767 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 66/20, 221/26, 767/826?

Answer: GCF of Numerators as per given numbers 66/20, 221/26, 767/826 is

GCF of Numerators i.e. for 66,221,767 is 1

LCM of denominators i.e. for 20,26,826 is 107380.

Thus, GCF of Fractions is 1/107380.Finally, GCF of Fractions for 66/20, 221/26, 767/826 is 1/107380.