GCD of 315, 882, 249, 582 Calculator

Given Input numbers are 315, 882, 249, 582

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

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

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 582 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (315, 882, 249, 582) = 3.

Given numbers are 315, 882, 249, 582

The list of prime factors of all numbers are

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

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 249 are 3 x 83

Prime factors of 582 are 2 x 3 x 97

The highest common occurrence is 3¹

Therefore, GCD of 315, 882, 249, 582 is 3.

Given numbers are 315, 882, 249, 582

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

Apply this formula for all numbers.

Step1:

LCM(315, 882) = 4410

GCD(315, 882) = ( 315 x 882 ) / 4410

= 315 / 882

= 315

Step2:

LCM(63, 249) = 5229

GCD(63, 249) = ( 63 x 249 ) / 5229

= 63 / 249

= 63

Step3:

LCM(3, 582) = 582

GCD(3, 582) = ( 3 x 582 ) / 582

= 3 / 582

= 3

So, Greatest Common Divisor of 315, 882, 249, 582 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 501, 904, 137
• GCD of 579, 823, 614, 984
• GCD of 266, 108, 876, 320
• GCD of 309, 627, 886, 899
• GCD of 501, 721, 156, 350

Given numbers are 315, 882, 249, 582
The greatest common divisor of numbers 315, 882, 249, 582 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 882, 249, 582 is 3.

1. What is the GCD of 315, 882, 249, 582?

GCD of given numbers 315, 882, 249, 582 is 3

2. How to calculate the greatest common divisor of 315, 882, 249, 582?

We can find the highest common divisor of 315, 882, 249, 582 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 315, 882, 249, 582 i.e 3.

3. How can I use the GCD of 315, 882, 249, 582Calculator?

Out the numbers 315, 882, 249, 582 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.