GCD of 531, 352, 420, 989 Calculator

Given Input numbers are 531, 352, 420, 989

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

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

GCD of numbers is the greatest common divisor

So, the GCD (531, 352, 420, 989) = 1.

Given numbers are 531, 352, 420, 989

The list of prime factors of all numbers are

Prime factors of 531 are 3 x 3 x 59

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

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

Prime factors of 989 are 23 x 43

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

Given numbers are 531, 352, 420, 989

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

Apply this formula for all numbers.

Step1:

LCM(531, 352) = 186912

GCD(531, 352) = ( 531 x 352 ) / 186912

= 531 / 352

= 531

Step2:

LCM(1, 420) = 420

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

= 1 / 420

= 1

Step3:

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

= 1 / 989

= 1

So, Greatest Common Divisor of 531, 352, 420, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 933, 257, 975
• GCD of 810, 654, 725, 464
• GCD of 422, 247, 686, 978
• GCD of 413, 162, 908, 722
• GCD of 435, 414, 884, 336

Given numbers are 531, 352, 420, 989
The greatest common divisor of numbers 531, 352, 420, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 531, 352, 420, 989 is 1.

1. What is the GCD of 531, 352, 420, 989?

GCD of given numbers 531, 352, 420, 989 is 1

2. How to calculate the greatest common divisor of 531, 352, 420, 989?

We can find the highest common divisor of 531, 352, 420, 989 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 531, 352, 420, 989 i.e 1.

3. How can I use the GCD of 531, 352, 420, 989Calculator?

Out the numbers 531, 352, 420, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.