GCD of 506, 751, 509, 420 Calculator

Given Input numbers are 506, 751, 509, 420

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 751 :

The positive integer divisors of 751 that completely divides 751 are.

1, 751

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

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 (506, 751, 509, 420) = 1.

Given numbers are 506, 751, 509, 420

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 751 are 751

Prime factors of 509 are 509

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 506, 751, 509, 420

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

Apply this formula for all numbers.

Step1:

LCM(506, 751) = 380006

GCD(506, 751) = ( 506 x 751 ) / 380006

= 506 / 751

= 506

Step2:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 506, 751, 509, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 847, 987, 422
• GCD of 516, 874, 962, 936
• GCD of 829, 552, 863, 853
• GCD of 730, 164, 556, 544
• GCD of 146, 520, 772, 246

Given numbers are 506, 751, 509, 420
The greatest common divisor of numbers 506, 751, 509, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 751, 509, 420 is 1.

1. What is the GCD of 506, 751, 509, 420?

GCD of given numbers 506, 751, 509, 420 is 1

2. How to calculate the greatest common divisor of 506, 751, 509, 420?

We can find the highest common divisor of 506, 751, 509, 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 506, 751, 509, 420 i.e 1.

3. How can I use the GCD of 506, 751, 509, 420Calculator?

Out the numbers 506, 751, 509, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.