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GCD of 252, 366, 993, 159 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 252, 366, 993, 159 quickly. Get the easiest ways to solve the greatest common divisor of 252, 366, 993, 159 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 252, 366, 993, 159 with Factoring?

Given Input numbers are 252, 366, 993, 159

In the factoring method, we have to find the divisors of all numbers

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159


GCD of numbers is the greatest common divisor

So, the GCD (252, 366, 993, 159) = 3.

Find GCD of 252, 366, 993, 159 using Prime Factorization

Given numbers are 252, 366, 993, 159

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 366 are 2 x 3 x 61

Prime factors of 993 are 3 x 331

Prime factors of 159 are 3 x 53

The highest common occurrence is 31

Therefore, GCD of 252, 366, 993, 159 is 3.

Steps to Calculate GCD of 252, 366, 993, 159 using LCM Formula

Given numbers are 252, 366, 993, 159

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(252, 366) = 15372

GCD(252, 366) = ( 252 x 366 ) / 15372

= 252 / 366

= 252


Step2:

LCM(6, 993) = 1986

GCD(6, 993) = ( 6 x 993 ) / 1986

= 6 / 993

= 6


Step3:

LCM(3, 159) = 159

GCD(3, 159) = ( 3 x 159 ) / 159

= 3 / 159

= 3


So, Greatest Common Divisor of 252, 366, 993, 159 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 252, 366, 993, 159

Given numbers are 252, 366, 993, 159
The greatest common divisor of numbers 252, 366, 993, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 366, 993, 159 is 3.

FAQs on GCD of 252, 366, 993, 159 Calculator

1. What is the GCD of 252, 366, 993, 159?

GCD of given numbers 252, 366, 993, 159 is 3


2. How to calculate the greatest common divisor of 252, 366, 993, 159?

We can find the highest common divisor of 252, 366, 993, 159 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 252, 366, 993, 159 i.e 3.


3. How can I use the GCD of 252, 366, 993, 159Calculator?

Out the numbers 252, 366, 993, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.