GCD of 660, 585, 499, 742 Calculator

Given Input numbers are 660, 585, 499, 742

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 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 499 :

The positive integer divisors of 499 that completely divides 499 are.

1, 499

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (660, 585, 499, 742) = 1.

Given numbers are 660, 585, 499, 742

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 585 are 3 x 3 x 5 x 13

Prime factors of 499 are 499

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 660, 585, 499, 742

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

Apply this formula for all numbers.

Step1:

LCM(660, 585) = 25740

GCD(660, 585) = ( 660 x 585 ) / 25740

= 660 / 585

= 660

Step2:

LCM(15, 499) = 7485

GCD(15, 499) = ( 15 x 499 ) / 7485

= 15 / 499

= 15

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 660, 585, 499, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 598, 787, 106, 213
• GCD of 159, 686, 126, 297
• GCD of 180, 371, 989, 165
• GCD of 759, 874, 187, 445
• GCD of 585, 186, 113, 297

Given numbers are 660, 585, 499, 742
The greatest common divisor of numbers 660, 585, 499, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 585, 499, 742 is 1.

1. What is the GCD of 660, 585, 499, 742?

GCD of given numbers 660, 585, 499, 742 is 1

2. How to calculate the greatest common divisor of 660, 585, 499, 742?

We can find the highest common divisor of 660, 585, 499, 742 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, 585, 499, 742 i.e 1.

3. How can I use the GCD of 660, 585, 499, 742Calculator?

Out the numbers 660, 585, 499, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.