GCD of 509, 490, 406 Calculator

Given Input numbers are 509, 490, 406

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 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

GCD of numbers is the greatest common divisor

So, the GCD (509, 490, 406) = 1.

Given numbers are 509, 490, 406

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 406 are 2 x 7 x 29

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

Given numbers are 509, 490, 406

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

Apply this formula for all numbers.

Step1:

LCM(509, 490) = 249410

GCD(509, 490) = ( 509 x 490 ) / 249410

= 509 / 490

= 509

Step2:

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

= 1 / 406

= 1

So, Greatest Common Divisor of 509, 490, 406 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 620, 113
• GCD of 109, 951, 819
• GCD of 860, 210, 345
• GCD of 801, 183, 352
• GCD of 345, 748, 829

Given numbers are 509, 490, 406
The greatest common divisor of numbers 509, 490, 406 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 490, 406 is 1.

1. What is the GCD of 509, 490, 406?

GCD of given numbers 509, 490, 406 is 1

2. How to calculate the greatest common divisor of 509, 490, 406?

We can find the highest common divisor of 509, 490, 406 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, 490, 406 i.e 1.

3. How can I use the GCD of 509, 490, 406Calculator?

Out the numbers 509, 490, 406 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.