GCD of 657, 660, 84, 564 Calculator

Given Input numbers are 657, 660, 84, 564

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

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

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 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (657, 660, 84, 564) = 3.

Given numbers are 657, 660, 84, 564

The list of prime factors of all numbers are

Prime factors of 657 are 3 x 3 x 73

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

Prime factors of 84 are 2 x 2 x 3 x 7

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 657, 660, 84, 564 is 3.

Given numbers are 657, 660, 84, 564

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

Apply this formula for all numbers.

Step1:

LCM(657, 660) = 144540

GCD(657, 660) = ( 657 x 660 ) / 144540

= 657 / 660

= 657

Step2:

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

= 3 / 84

= 3

Step3:

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

= 3 / 564

= 3

So, Greatest Common Divisor of 657, 660, 84, 564 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 890, 38, 854
• GCD of 543, 715, 74, 523
• GCD of 636, 612, 29, 148
• GCD of 701, 669, 85, 985
• GCD of 458, 971, 24, 802

Given numbers are 657, 660, 84, 564
The greatest common divisor of numbers 657, 660, 84, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 657, 660, 84, 564 is 3.

1. What is the GCD of 657, 660, 84, 564?

GCD of given numbers 657, 660, 84, 564 is 3

2. How to calculate the greatest common divisor of 657, 660, 84, 564?

We can find the highest common divisor of 657, 660, 84, 564 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 657, 660, 84, 564 i.e 3.

3. How can I use the GCD of 657, 660, 84, 564Calculator?

Out the numbers 657, 660, 84, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.