GCD of 591, 660, 882 Calculator

Given Input numbers are 591, 660, 882

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

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (591, 660, 882) = 3.

Given numbers are 591, 660, 882

The list of prime factors of all numbers are

Prime factors of 591 are 3 x 197

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 591, 660, 882 is 3.

Given numbers are 591, 660, 882

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

Apply this formula for all numbers.

Step1:

LCM(591, 660) = 130020

GCD(591, 660) = ( 591 x 660 ) / 130020

= 591 / 660

= 591

Step2:

LCM(3, 882) = 882

GCD(3, 882) = ( 3 x 882 ) / 882

= 3 / 882

= 3

So, Greatest Common Divisor of 591, 660, 882 is 3

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Given numbers are 591, 660, 882
The greatest common divisor of numbers 591, 660, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 591, 660, 882 is 3.

1. What is the GCD of 591, 660, 882?

GCD of given numbers 591, 660, 882 is 3

2. How to calculate the greatest common divisor of 591, 660, 882?

We can find the highest common divisor of 591, 660, 882 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 591, 660, 882 i.e 3.

3. How can I use the GCD of 591, 660, 882Calculator?

Out the numbers 591, 660, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.