GCD of 497, 420, 431, 572 Calculator

Given Input numbers are 497, 420, 431, 572

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

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

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 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

GCD of numbers is the greatest common divisor

So, the GCD (497, 420, 431, 572) = 1.

Given numbers are 497, 420, 431, 572

The list of prime factors of all numbers are

Prime factors of 497 are 7 x 71

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

Prime factors of 431 are 431

Prime factors of 572 are 2 x 2 x 11 x 13

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

Given numbers are 497, 420, 431, 572

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

Apply this formula for all numbers.

Step1:

LCM(497, 420) = 29820

GCD(497, 420) = ( 497 x 420 ) / 29820

= 497 / 420

= 497

Step2:

LCM(7, 431) = 3017

GCD(7, 431) = ( 7 x 431 ) / 3017

= 7 / 431

= 7

Step3:

LCM(1, 572) = 572

GCD(1, 572) = ( 1 x 572 ) / 572

= 1 / 572

= 1

So, Greatest Common Divisor of 497, 420, 431, 572 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 240, 120, 555, 797
• GCD of 664, 798, 262, 975
• GCD of 837, 583, 490, 923
• GCD of 818, 804, 894, 981
• GCD of 662, 289, 571, 850

Given numbers are 497, 420, 431, 572
The greatest common divisor of numbers 497, 420, 431, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 420, 431, 572 is 1.

1. What is the GCD of 497, 420, 431, 572?

GCD of given numbers 497, 420, 431, 572 is 1

2. How to calculate the greatest common divisor of 497, 420, 431, 572?

We can find the highest common divisor of 497, 420, 431, 572 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 497, 420, 431, 572 i.e 1.

3. How can I use the GCD of 497, 420, 431, 572Calculator?

Out the numbers 497, 420, 431, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.