GCD of 464, 506, 605, 789 Calculator

Given Input numbers are 464, 506, 605, 789

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 605 :

The positive integer divisors of 605 that completely divides 605 are.

1, 5, 11, 55, 121, 605

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (464, 506, 605, 789) = 1.

Given numbers are 464, 506, 605, 789

The list of prime factors of all numbers are

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 506 are 2 x 11 x 23

Prime factors of 605 are 5 x 11 x 11

Prime factors of 789 are 3 x 263

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

Given numbers are 464, 506, 605, 789

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

Apply this formula for all numbers.

Step1:

LCM(464, 506) = 117392

GCD(464, 506) = ( 464 x 506 ) / 117392

= 464 / 506

= 464

Step2:

LCM(2, 605) = 1210

GCD(2, 605) = ( 2 x 605 ) / 1210

= 2 / 605

= 2

Step3:

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

= 1 / 789

= 1

So, Greatest Common Divisor of 464, 506, 605, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 665, 119, 615
• GCD of 851, 994, 465, 536
• GCD of 808, 179, 644, 261
• GCD of 530, 197, 946, 231
• GCD of 590, 848, 854, 484

Given numbers are 464, 506, 605, 789
The greatest common divisor of numbers 464, 506, 605, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 506, 605, 789 is 1.

1. What is the GCD of 464, 506, 605, 789?

GCD of given numbers 464, 506, 605, 789 is 1

2. How to calculate the greatest common divisor of 464, 506, 605, 789?

We can find the highest common divisor of 464, 506, 605, 789 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 464, 506, 605, 789 i.e 1.

3. How can I use the GCD of 464, 506, 605, 789Calculator?

Out the numbers 464, 506, 605, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.