GCD of 990, 660, 696, 523 Calculator

Given Input numbers are 990, 660, 696, 523

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

GCD of numbers is the greatest common divisor

So, the GCD (990, 660, 696, 523) = 1.

Given numbers are 990, 660, 696, 523

The list of prime factors of all numbers are

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 523 are 523

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

Given numbers are 990, 660, 696, 523

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

Apply this formula for all numbers.

Step1:

LCM(990, 660) = 1980

GCD(990, 660) = ( 990 x 660 ) / 1980

= 990 / 660

= 990

Step2:

LCM(330, 696) = 38280

GCD(330, 696) = ( 330 x 696 ) / 38280

= 330 / 696

= 330

Step3:

LCM(6, 523) = 3138

GCD(6, 523) = ( 6 x 523 ) / 3138

= 6 / 523

= 6

So, Greatest Common Divisor of 990, 660, 696, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 690, 944, 424
• GCD of 662, 503, 684, 502
• GCD of 573, 212, 964, 465
• GCD of 167, 302, 254, 219
• GCD of 133, 629, 422, 476

Given numbers are 990, 660, 696, 523
The greatest common divisor of numbers 990, 660, 696, 523 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 660, 696, 523 is 1.

1. What is the GCD of 990, 660, 696, 523?

GCD of given numbers 990, 660, 696, 523 is 1

2. How to calculate the greatest common divisor of 990, 660, 696, 523?

We can find the highest common divisor of 990, 660, 696, 523 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 990, 660, 696, 523 i.e 1.

3. How can I use the GCD of 990, 660, 696, 523Calculator?

Out the numbers 990, 660, 696, 523 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.