GCD of 531, 180, 303, 315 Calculator

Given Input numbers are 531, 180, 303, 315

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (531, 180, 303, 315) = 3.

Given numbers are 531, 180, 303, 315

The list of prime factors of all numbers are

Prime factors of 531 are 3 x 3 x 59

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 303 are 3 x 101

Prime factors of 315 are 3 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 531, 180, 303, 315 is 3.

Given numbers are 531, 180, 303, 315

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

Apply this formula for all numbers.

Step1:

LCM(531, 180) = 10620

GCD(531, 180) = ( 531 x 180 ) / 10620

= 531 / 180

= 531

Step2:

LCM(9, 303) = 909

GCD(9, 303) = ( 9 x 303 ) / 909

= 9 / 303

= 9

Step3:

LCM(3, 315) = 315

GCD(3, 315) = ( 3 x 315 ) / 315

= 3 / 315

= 3

So, Greatest Common Divisor of 531, 180, 303, 315 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 739, 965, 107, 325
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Given numbers are 531, 180, 303, 315
The greatest common divisor of numbers 531, 180, 303, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 531, 180, 303, 315 is 3.

1. What is the GCD of 531, 180, 303, 315?

GCD of given numbers 531, 180, 303, 315 is 3

2. How to calculate the greatest common divisor of 531, 180, 303, 315?

We can find the highest common divisor of 531, 180, 303, 315 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, 180, 303, 315 i.e 3.

3. How can I use the GCD of 531, 180, 303, 315Calculator?

Out the numbers 531, 180, 303, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.