GCD of 743, 507, 558, 420 Calculator

Given Input numbers are 743, 507, 558, 420

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

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

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

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

GCD of numbers is the greatest common divisor

So, the GCD (743, 507, 558, 420) = 1.

Given numbers are 743, 507, 558, 420

The list of prime factors of all numbers are

Prime factors of 743 are 743

Prime factors of 507 are 3 x 13 x 13

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

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

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

Given numbers are 743, 507, 558, 420

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

Apply this formula for all numbers.

Step1:

LCM(743, 507) = 376701

GCD(743, 507) = ( 743 x 507 ) / 376701

= 743 / 507

= 743

Step2:

LCM(1, 558) = 558

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

= 1 / 558

= 1

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 743, 507, 558, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 500, 503, 571
• GCD of 968, 581, 885, 463
• GCD of 967, 100, 959, 981
• GCD of 485, 165, 892, 556
• GCD of 273, 560, 868, 110

Given numbers are 743, 507, 558, 420
The greatest common divisor of numbers 743, 507, 558, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 743, 507, 558, 420 is 1.

1. What is the GCD of 743, 507, 558, 420?

GCD of given numbers 743, 507, 558, 420 is 1

2. How to calculate the greatest common divisor of 743, 507, 558, 420?

We can find the highest common divisor of 743, 507, 558, 420 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 743, 507, 558, 420 i.e 1.

3. How can I use the GCD of 743, 507, 558, 420Calculator?

Out the numbers 743, 507, 558, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.