GCD of 990, 906, 709, 516 Calculator

Given Input numbers are 990, 906, 709, 516

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 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

GCD of numbers is the greatest common divisor

So, the GCD (990, 906, 709, 516) = 1.

Given numbers are 990, 906, 709, 516

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 906 are 2 x 3 x 151

Prime factors of 709 are 709

Prime factors of 516 are 2 x 2 x 3 x 43

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

Given numbers are 990, 906, 709, 516

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

Apply this formula for all numbers.

Step1:

LCM(990, 906) = 149490

GCD(990, 906) = ( 990 x 906 ) / 149490

= 990 / 906

= 990

Step2:

LCM(6, 709) = 4254

GCD(6, 709) = ( 6 x 709 ) / 4254

= 6 / 709

= 6

Step3:

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

= 1 / 516

= 1

So, Greatest Common Divisor of 990, 906, 709, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 388, 114, 848, 919
• GCD of 187, 281, 525, 423
• GCD of 126, 494, 505, 465
• GCD of 455, 434, 929, 882
• GCD of 416, 690, 802, 414

Given numbers are 990, 906, 709, 516
The greatest common divisor of numbers 990, 906, 709, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 906, 709, 516 is 1.

1. What is the GCD of 990, 906, 709, 516?

GCD of given numbers 990, 906, 709, 516 is 1

2. How to calculate the greatest common divisor of 990, 906, 709, 516?

We can find the highest common divisor of 990, 906, 709, 516 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, 906, 709, 516 i.e 1.

3. How can I use the GCD of 990, 906, 709, 516Calculator?

Out the numbers 990, 906, 709, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.