GCD of 420, 509, 537, 392 Calculator

Given Input numbers are 420, 509, 537, 392

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

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 509 :

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

1, 509

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

GCD of numbers is the greatest common divisor

So, the GCD (420, 509, 537, 392) = 1.

Given numbers are 420, 509, 537, 392

The list of prime factors of all numbers are

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

Prime factors of 509 are 509

Prime factors of 537 are 3 x 179

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

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

Given numbers are 420, 509, 537, 392

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

Apply this formula for all numbers.

Step1:

LCM(420, 509) = 213780

GCD(420, 509) = ( 420 x 509 ) / 213780

= 420 / 509

= 420

Step2:

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

= 1 / 537

= 1

Step3:

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

= 1 / 392

= 1

So, Greatest Common Divisor of 420, 509, 537, 392 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 388, 870, 183, 291
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• GCD of 263, 716, 978, 844
• GCD of 167, 318, 470, 925
• GCD of 912, 874, 309, 168

Given numbers are 420, 509, 537, 392
The greatest common divisor of numbers 420, 509, 537, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 509, 537, 392 is 1.

1. What is the GCD of 420, 509, 537, 392?

GCD of given numbers 420, 509, 537, 392 is 1

2. How to calculate the greatest common divisor of 420, 509, 537, 392?

We can find the highest common divisor of 420, 509, 537, 392 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 420, 509, 537, 392 i.e 1.

3. How can I use the GCD of 420, 509, 537, 392Calculator?

Out the numbers 420, 509, 537, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.