GCD of 492, 420, 563, 517 Calculator

Given Input numbers are 492, 420, 563, 517

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

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 563 :

The positive integer divisors of 563 that completely divides 563 are.

1, 563

Divisors of 517 :

The positive integer divisors of 517 that completely divides 517 are.

1, 11, 47, 517

GCD of numbers is the greatest common divisor

So, the GCD (492, 420, 563, 517) = 1.

Given numbers are 492, 420, 563, 517

The list of prime factors of all numbers are

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

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 563 are 563

Prime factors of 517 are 11 x 47

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

Given numbers are 492, 420, 563, 517

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

Apply this formula for all numbers.

Step1:

LCM(492, 420) = 17220

GCD(492, 420) = ( 492 x 420 ) / 17220

= 492 / 420

= 492

Step2:

LCM(12, 563) = 6756

GCD(12, 563) = ( 12 x 563 ) / 6756

= 12 / 563

= 12

Step3:

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

= 1 / 517

= 1

So, Greatest Common Divisor of 492, 420, 563, 517 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 369, 835, 547
• GCD of 529, 559, 479, 308
• GCD of 932, 718, 188, 995
• GCD of 293, 597, 932, 893
• GCD of 881, 607, 632, 407

Given numbers are 492, 420, 563, 517
The greatest common divisor of numbers 492, 420, 563, 517 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 420, 563, 517 is 1.

1. What is the GCD of 492, 420, 563, 517?

GCD of given numbers 492, 420, 563, 517 is 1

2. How to calculate the greatest common divisor of 492, 420, 563, 517?

We can find the highest common divisor of 492, 420, 563, 517 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 492, 420, 563, 517 i.e 1.

3. How can I use the GCD of 492, 420, 563, 517Calculator?

Out the numbers 492, 420, 563, 517 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.