GCD of 456, 506, 120, 477 Calculator

Given Input numbers are 456, 506, 120, 477

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 506 :

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

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 477 :

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

1, 3, 9, 53, 159, 477

GCD of numbers is the greatest common divisor

So, the GCD (456, 506, 120, 477) = 1.

Given numbers are 456, 506, 120, 477

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 506 are 2 x 11 x 23

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 477 are 3 x 3 x 53

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

Given numbers are 456, 506, 120, 477

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

Apply this formula for all numbers.

Step1:

LCM(456, 506) = 115368

GCD(456, 506) = ( 456 x 506 ) / 115368

= 456 / 506

= 456

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 477) = 954

GCD(2, 477) = ( 2 x 477 ) / 954

= 2 / 477

= 2

So, Greatest Common Divisor of 456, 506, 120, 477 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 766, 216, 477
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Given numbers are 456, 506, 120, 477
The greatest common divisor of numbers 456, 506, 120, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 506, 120, 477 is 1.

1. What is the GCD of 456, 506, 120, 477?

GCD of given numbers 456, 506, 120, 477 is 1

2. How to calculate the greatest common divisor of 456, 506, 120, 477?

We can find the highest common divisor of 456, 506, 120, 477 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 456, 506, 120, 477 i.e 1.

3. How can I use the GCD of 456, 506, 120, 477Calculator?

Out the numbers 456, 506, 120, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.