GCD of 660, 504, 221, 654 Calculator

Given Input numbers are 660, 504, 221, 654

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

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 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (660, 504, 221, 654) = 1.

Given numbers are 660, 504, 221, 654

The list of prime factors of all numbers are

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

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 221 are 13 x 17

Prime factors of 654 are 2 x 3 x 109

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 660, 504, 221, 654

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

Apply this formula for all numbers.

Step1:

LCM(660, 504) = 27720

GCD(660, 504) = ( 660 x 504 ) / 27720

= 660 / 504

= 660

Step2:

LCM(12, 221) = 2652

GCD(12, 221) = ( 12 x 221 ) / 2652

= 12 / 221

= 12

Step3:

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

= 1 / 654

= 1

So, Greatest Common Divisor of 660, 504, 221, 654 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 679, 593, 300
• GCD of 125, 236, 956, 333
• GCD of 199, 405, 648, 773
• GCD of 881, 542, 652, 488
• GCD of 559, 275, 106, 727

Given numbers are 660, 504, 221, 654
The greatest common divisor of numbers 660, 504, 221, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 504, 221, 654 is 1.

1. What is the GCD of 660, 504, 221, 654?

GCD of given numbers 660, 504, 221, 654 is 1

2. How to calculate the greatest common divisor of 660, 504, 221, 654?

We can find the highest common divisor of 660, 504, 221, 654 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 660, 504, 221, 654 i.e 1.

3. How can I use the GCD of 660, 504, 221, 654Calculator?

Out the numbers 660, 504, 221, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.