How to Find GCF of 33/965, 77/182, 198/139?

GCF of 33/965, 77/182, 198/139

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 33/965, 77/182, 198/139 i.e 11/24412570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 33/965, 77/182, 198/139.

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 33/965,77/182,198/139?

Given fractions are 33/965,77/182,198/139

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 33/965,77/182,198/139, numerators are 33,77,198

Denominators are 965,182,139

The GCF of 33,77,198 is 11 .

LCM of 965,182,139 is 24412570.

The greatest common factor of 33/965,77/182,198/139 = [GCF of 33,77,198]/[LCM of 965,182,139]= 11/24412570

Therefore, the GCF of 33/965,77/182,198/139 is 11/24412570.

Greatest Common Factor of 33,77,198

To find the highest common factor of 33,77,198, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 77 are 1, 7, 11, 77

The factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

The HCF of 33,77,198 is 11.

Lets's calculate GCF of 33,77,198

Greatest Common Factor (GCF) of 33,77,198 By Common Division

11	33, 77, 198
	3, 7, 18

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

Greatest Common Factor of 33,77,198 By Matching Biggest Common Factor Method

Now, list down the factors of 33

1,3,11,33

Now, list down the factors of 77

1,7,11,77

Now, list down the factors of 198

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 33,77,198 . The biggest common factor number is the GCF number.
So the greatest common factor 33,77,198 is 11.

Lets's calculate LCM of 965,182,139

Lowest Common Multiple of 965,182,139 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 24412570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/24412570

Therefore, the GCF of Fractions 33/965,77/182,198/139 is 11/24412570

Least Common Multiple of 965,182,139 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 965,182,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(965,182,139) = 1

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

GCF(965,182,139) x common factors =1 x 1 = 1

LCM(965,182,139) = ( 965 × 182 × 139 ) / 1

LCM(965,182,139) = 24412570 / 1

LCM(965,182,139) = 24412570

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 33/965, 77/182, 198/139

1. What is the HCF of 33,77,198?

The HCF of 33,77,198 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 33/965, 77/182, 198/139?

Answer: GCF of Numerators as per given numbers 33/965, 77/182, 198/139 is

GCF of Numerators i.e. for 33,77,198 is 11

LCM of denominators i.e. for 965,182,139 is 24412570.

Thus, GCF of Fractions is 11/24412570.Finally, GCF of Fractions for 33/965, 77/182, 198/139 is 11/24412570.