GCD of 460, 492, 477, 506 Calculator

Given Input numbers are 460, 492, 477, 506

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 506 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (460, 492, 477, 506) = 1.

Given numbers are 460, 492, 477, 506

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 477 are 3 x 3 x 53

Prime factors of 506 are 2 x 11 x 23

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

Given numbers are 460, 492, 477, 506

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

Apply this formula for all numbers.

Step1:

LCM(460, 492) = 56580

GCD(460, 492) = ( 460 x 492 ) / 56580

= 460 / 492

= 460

Step2:

LCM(4, 477) = 1908

GCD(4, 477) = ( 4 x 477 ) / 1908

= 4 / 477

= 4

Step3:

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

= 1 / 506

= 1

So, Greatest Common Divisor of 460, 492, 477, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 513, 896, 750
• GCD of 591, 295, 790, 462
• GCD of 806, 776, 977, 425
• GCD of 485, 385, 157, 315
• GCD of 202, 418, 695, 656

Given numbers are 460, 492, 477, 506
The greatest common divisor of numbers 460, 492, 477, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 492, 477, 506 is 1.

1. What is the GCD of 460, 492, 477, 506?

GCD of given numbers 460, 492, 477, 506 is 1

2. How to calculate the greatest common divisor of 460, 492, 477, 506?

We can find the highest common divisor of 460, 492, 477, 506 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 460, 492, 477, 506 i.e 1.

3. How can I use the GCD of 460, 492, 477, 506Calculator?

Out the numbers 460, 492, 477, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.