GCD of 900, 504, 249, 315 Calculator

Given Input numbers are 900, 504, 249, 315

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 249 :

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

1, 3, 83, 249

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 (900, 504, 249, 315) = 3.

Given numbers are 900, 504, 249, 315

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 249 are 3 x 83

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

The highest common occurrence is 3¹

Therefore, GCD of 900, 504, 249, 315 is 3.

Given numbers are 900, 504, 249, 315

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

Apply this formula for all numbers.

Step1:

LCM(900, 504) = 12600

GCD(900, 504) = ( 900 x 504 ) / 12600

= 900 / 504

= 900

Step2:

LCM(36, 249) = 2988

GCD(36, 249) = ( 36 x 249 ) / 2988

= 36 / 249

= 36

Step3:

LCM(3, 315) = 315

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

= 3 / 315

= 3

So, Greatest Common Divisor of 900, 504, 249, 315 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 201, 664, 761
• GCD of 129, 258, 552, 202
• GCD of 420, 751, 928, 871
• GCD of 219, 627, 824, 125
• GCD of 362, 436, 382, 707

Given numbers are 900, 504, 249, 315
The greatest common divisor of numbers 900, 504, 249, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 504, 249, 315 is 3.

1. What is the GCD of 900, 504, 249, 315?

GCD of given numbers 900, 504, 249, 315 is 3

2. How to calculate the greatest common divisor of 900, 504, 249, 315?

We can find the highest common divisor of 900, 504, 249, 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 900, 504, 249, 315 i.e 3.

3. How can I use the GCD of 900, 504, 249, 315Calculator?

Out the numbers 900, 504, 249, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.