How to Find GCF of 66/612, 11/572, 363/319?

GCF of 66/612, 11/572, 363/319

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 66/612, 11/572, 363/319 i.e 11/2537964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/612, 11/572, 363/319.

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 66/612,11/572,363/319?

Given fractions are 66/612,11/572,363/319

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 66/612,11/572,363/319, numerators are 66,11,363

Denominators are 612,572,319

The GCF of 66,11,363 is 11 .

LCM of 612,572,319 is 2537964.

The greatest common factor of 66/612,11/572,363/319 = [GCF of 66,11,363]/[LCM of 612,572,319]= 11/2537964

Therefore, the GCF of 66/612,11/572,363/319 is 11/2537964.

Greatest Common Factor of 66,11,363

To find the highest common factor of 66,11,363, 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 11 are 1, 11

The factors of 363 are 1, 3, 11, 33, 121, 363

The HCF of 66,11,363 is 11.

Lets's calculate GCF of 66,11,363

Greatest Common Factor (GCF) of 66,11,363 By Common Division

11	66, 11, 363
	6, 1, 33

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 66,11,363 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 11

1,11

Now, list down the factors of 363

1,3,11,33,121,363

Greatest Common Factor

We found the factors 66,11,363 . The biggest common factor number is the GCF number.
So the greatest common factor 66,11,363 is 11.

Lets's calculate LCM of 612,572,319

Lowest Common Multiple of 612,572,319 using Common Division

2	612, 572, 319
2	306, 286, 319
11	153, 143, 319
	153, 13, 29

∴ So the LCM of the given numbers is 2 x 2 x 11 x 153 x 13 x 29 = 2537964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2537964

Therefore, the GCF of Fractions 66/612,11/572,363/319 is 11/2537964

Least Common Multiple of 612,572,319 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 612,572,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,572,319) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(612,572,319) x common factors =1 x 44 = 44

LCM(612,572,319) = ( 612 × 572 × 319 ) / 44

LCM(612,572,319) = 111670416 / 44

LCM(612,572,319) = 2537964

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 66/612, 11/572, 363/319

1. What is the HCF of 66,11,363?

The HCF of 66,11,363 is 11

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 66/612, 11/572, 363/319?

Answer: GCF of Numerators as per given numbers 66/612, 11/572, 363/319 is

GCF of Numerators i.e. for 66,11,363 is 11

LCM of denominators i.e. for 612,572,319 is 2537964.

Thus, GCF of Fractions is 11/2537964.Finally, GCF of Fractions for 66/612, 11/572, 363/319 is 11/2537964.