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GCF of 351/66, 999/181

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 351/66, 999/181 i.e 27/11946 easily. The following is the detailed procedure to determine the greatest common factor of fractions 351/66, 999/181.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 351/66,999/181?

Given fractions are 351/66,999/181

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 351/66,999/181, numerators are 351,999

Denominators are 66,181

The GCF of 351,999 is 27 .

LCM of 66,181 is 11946.

The greatest common factor of 351/66,999/181 = [GCF of 351,999]/[LCM of 66,181]= 27/11946

Therefore, the GCF of 351/66,999/181 is 27/11946.

Greatest Common Factor of 351,999

To find the highest common factor of 351,999, we have to find the factors of both numbers and list the highest common factor.

The factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351

The factors of 999 are 1, 3, 9, 27, 37, 111, 333, 999

The HCF of 351,999 is 27.

Lets's calculate GCF of 351,999

Greatest Common Factor (GCF) of 351,999 By Common Division

3 351, 999
3 117, 333
3 39, 111
13, 37

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 351,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,999 By Matching Biggest Common Factor Method

Now, list down the factors of 351

:

1,3,9,13,27,39,117,351

Now, list down the factors of 999

:

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 351,999 . The biggest common factor number is the GCF number.
So the greatest common factor 351,999 is 27.

Lets's calculate LCM of 66,181

Lowest Common Multiple of 66,181 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 11946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/11946

Therefore, the GCF of Fractions 351/66,999/181 is 27/11946

Least Common Multiple of 66,181 with GCF Formula

Least Common Multiple of 66,181 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 66,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,181) = 1

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

GCF(66,181) x common factors =1 x 1 = 1

LCM(66,181) = ( 66 × 181 ) / 1

LCM(66,181) = 11946 / 1

LCM(66,181) = 11946


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FAQs on GCF of Fractions of 351/66, 999/181

1. What is the HCF of 351,999?

The HCF of 351,999 is 27

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 351/66, 999/181?

Answer: GCF of Numerators as per given numbers 351/66, 999/181 is

GCF of Numerators i.e. for 351,999 is 27

LCM of denominators i.e. for 66,181 is 11946.

Thus, GCF of Fractions is 27/11946.Finally, GCF of Fractions for 351/66, 999/181 is 27/11946.