GCD of 506, 753, 420, 558 Calculator

Given Input numbers are 506, 753, 420, 558

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

Divisors of 506 :

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

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

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

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 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (506, 753, 420, 558) = 1.

Given numbers are 506, 753, 420, 558

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 753 are 3 x 251

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

Prime factors of 558 are 2 x 3 x 3 x 31

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

Given numbers are 506, 753, 420, 558

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

Apply this formula for all numbers.

Step1:

LCM(506, 753) = 381018

GCD(506, 753) = ( 506 x 753 ) / 381018

= 506 / 753

= 506

Step2:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

Step3:

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

= 1 / 558

= 1

So, Greatest Common Divisor of 506, 753, 420, 558 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 254, 529, 329
• GCD of 195, 896, 793, 103
• GCD of 971, 170, 123, 894
• GCD of 154, 371, 142, 969
• GCD of 425, 882, 917, 976

Given numbers are 506, 753, 420, 558
The greatest common divisor of numbers 506, 753, 420, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 753, 420, 558 is 1.

1. What is the GCD of 506, 753, 420, 558?

GCD of given numbers 506, 753, 420, 558 is 1

2. How to calculate the greatest common divisor of 506, 753, 420, 558?

We can find the highest common divisor of 506, 753, 420, 558 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 506, 753, 420, 558 i.e 1.

3. How can I use the GCD of 506, 753, 420, 558Calculator?

Out the numbers 506, 753, 420, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.