GCD of 361, 988, 582, 420 Calculator

Given Input numbers are 361, 988, 582, 420

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

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 (361, 988, 582, 420) = 1.

Given numbers are 361, 988, 582, 420

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 582 are 2 x 3 x 97

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 361, 988, 582, 420

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

Apply this formula for all numbers.

Step1:

LCM(361, 988) = 18772

GCD(361, 988) = ( 361 x 988 ) / 18772

= 361 / 988

= 361

Step2:

LCM(19, 582) = 11058

GCD(19, 582) = ( 19 x 582 ) / 11058

= 19 / 582

= 19

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 361, 988, 582, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 562, 212, 599, 748
• GCD of 604, 934, 200, 304
• GCD of 602, 128, 978, 461
• GCD of 266, 269, 225, 285
• GCD of 183, 903, 842, 343

Given numbers are 361, 988, 582, 420
The greatest common divisor of numbers 361, 988, 582, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 988, 582, 420 is 1.

1. What is the GCD of 361, 988, 582, 420?

GCD of given numbers 361, 988, 582, 420 is 1

2. How to calculate the greatest common divisor of 361, 988, 582, 420?

We can find the highest common divisor of 361, 988, 582, 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 361, 988, 582, 420 i.e 1.

3. How can I use the GCD of 361, 988, 582, 420Calculator?

Out the numbers 361, 988, 582, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.