GCD of 420, 231, 38, 557 Calculator

Given Input numbers are 420, 231, 38, 557

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 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 557 :

The positive integer divisors of 557 that completely divides 557 are.

1, 557

GCD of numbers is the greatest common divisor

So, the GCD (420, 231, 38, 557) = 1.

Given numbers are 420, 231, 38, 557

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 231 are 3 x 7 x 11

Prime factors of 38 are 2 x 19

Prime factors of 557 are 557

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

Given numbers are 420, 231, 38, 557

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

Apply this formula for all numbers.

Step1:

LCM(420, 231) = 4620

GCD(420, 231) = ( 420 x 231 ) / 4620

= 420 / 231

= 420

Step2:

LCM(21, 38) = 798

GCD(21, 38) = ( 21 x 38 ) / 798

= 21 / 38

= 21

Step3:

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

= 1 / 557

= 1

So, Greatest Common Divisor of 420, 231, 38, 557 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 717, 488, 83, 813
• GCD of 297, 971, 84, 265
• GCD of 997, 796, 49, 263
• GCD of 717, 704, 24, 808
• GCD of 615, 798, 94, 223

Given numbers are 420, 231, 38, 557
The greatest common divisor of numbers 420, 231, 38, 557 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 231, 38, 557 is 1.

1. What is the GCD of 420, 231, 38, 557?

GCD of given numbers 420, 231, 38, 557 is 1

2. How to calculate the greatest common divisor of 420, 231, 38, 557?

We can find the highest common divisor of 420, 231, 38, 557 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, 231, 38, 557 i.e 1.

3. How can I use the GCD of 420, 231, 38, 557Calculator?

Out the numbers 420, 231, 38, 557 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.