GCD of 509, 422, 990, 763 Calculator

Given Input numbers are 509, 422, 990, 763

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

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

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 763 :

The positive integer divisors of 763 that completely divides 763 are.

1, 7, 109, 763

GCD of numbers is the greatest common divisor

So, the GCD (509, 422, 990, 763) = 1.

Given numbers are 509, 422, 990, 763

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 422 are 2 x 211

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

Prime factors of 763 are 7 x 109

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

Given numbers are 509, 422, 990, 763

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

Apply this formula for all numbers.

Step1:

LCM(509, 422) = 214798

GCD(509, 422) = ( 509 x 422 ) / 214798

= 509 / 422

= 509

Step2:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

Step3:

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

= 1 / 763

= 1

So, Greatest Common Divisor of 509, 422, 990, 763 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 155, 974, 859
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Given numbers are 509, 422, 990, 763
The greatest common divisor of numbers 509, 422, 990, 763 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 422, 990, 763 is 1.

1. What is the GCD of 509, 422, 990, 763?

GCD of given numbers 509, 422, 990, 763 is 1

2. How to calculate the greatest common divisor of 509, 422, 990, 763?

We can find the highest common divisor of 509, 422, 990, 763 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 509, 422, 990, 763 i.e 1.

3. How can I use the GCD of 509, 422, 990, 763Calculator?

Out the numbers 509, 422, 990, 763 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.