GCD of 531, 213, 420, 951 Calculator

Given Input numbers are 531, 213, 420, 951

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 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

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 951 :

The positive integer divisors of 951 that completely divides 951 are.

1, 3, 317, 951

GCD of numbers is the greatest common divisor

So, the GCD (531, 213, 420, 951) = 3.

Given numbers are 531, 213, 420, 951

The list of prime factors of all numbers are

Prime factors of 531 are 3 x 3 x 59

Prime factors of 213 are 3 x 71

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

Prime factors of 951 are 3 x 317

The highest common occurrence is 3¹

Therefore, GCD of 531, 213, 420, 951 is 3.

Given numbers are 531, 213, 420, 951

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

Apply this formula for all numbers.

Step1:

LCM(531, 213) = 37701

GCD(531, 213) = ( 531 x 213 ) / 37701

= 531 / 213

= 531

Step2:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

Step3:

LCM(3, 951) = 951

GCD(3, 951) = ( 3 x 951 ) / 951

= 3 / 951

= 3

So, Greatest Common Divisor of 531, 213, 420, 951 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 621, 149, 166
• GCD of 970, 213, 835, 423
• GCD of 599, 566, 719, 745
• GCD of 208, 853, 847, 871
• GCD of 952, 353, 302, 601

Given numbers are 531, 213, 420, 951
The greatest common divisor of numbers 531, 213, 420, 951 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 531, 213, 420, 951 is 3.

1. What is the GCD of 531, 213, 420, 951?

GCD of given numbers 531, 213, 420, 951 is 3

2. How to calculate the greatest common divisor of 531, 213, 420, 951?

We can find the highest common divisor of 531, 213, 420, 951 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, 213, 420, 951 i.e 3.

3. How can I use the GCD of 531, 213, 420, 951Calculator?

Out the numbers 531, 213, 420, 951 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.