GCD of 660, 400, 365, 649 Calculator

Given Input numbers are 660, 400, 365, 649

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 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

GCD of numbers is the greatest common divisor

So, the GCD (660, 400, 365, 649) = 1.

Given numbers are 660, 400, 365, 649

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 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 365 are 5 x 73

Prime factors of 649 are 11 x 59

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

Given numbers are 660, 400, 365, 649

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

Apply this formula for all numbers.

Step1:

LCM(660, 400) = 13200

GCD(660, 400) = ( 660 x 400 ) / 13200

= 660 / 400

= 660

Step2:

LCM(20, 365) = 1460

GCD(20, 365) = ( 20 x 365 ) / 1460

= 20 / 365

= 20

Step3:

LCM(5, 649) = 3245

GCD(5, 649) = ( 5 x 649 ) / 3245

= 5 / 649

= 5

So, Greatest Common Divisor of 660, 400, 365, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 851, 872, 765, 205
• GCD of 195, 715, 119, 107
• GCD of 579, 200, 528, 902
• GCD of 640, 105, 928, 182
• GCD of 332, 190, 249, 373

Given numbers are 660, 400, 365, 649
The greatest common divisor of numbers 660, 400, 365, 649 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 400, 365, 649 is 1.

1. What is the GCD of 660, 400, 365, 649?

GCD of given numbers 660, 400, 365, 649 is 1

2. How to calculate the greatest common divisor of 660, 400, 365, 649?

We can find the highest common divisor of 660, 400, 365, 649 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, 400, 365, 649 i.e 1.

3. How can I use the GCD of 660, 400, 365, 649Calculator?

Out the numbers 660, 400, 365, 649 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.