GCD of 507, 576, 678, 237 Calculator

Given Input numbers are 507, 576, 678, 237

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

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237

GCD of numbers is the greatest common divisor

So, the GCD (507, 576, 678, 237) = 3.

Given numbers are 507, 576, 678, 237

The list of prime factors of all numbers are

Prime factors of 507 are 3 x 13 x 13

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 678 are 2 x 3 x 113

Prime factors of 237 are 3 x 79

The highest common occurrence is 3¹

Therefore, GCD of 507, 576, 678, 237 is 3.

Given numbers are 507, 576, 678, 237

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

Apply this formula for all numbers.

Step1:

LCM(507, 576) = 97344

GCD(507, 576) = ( 507 x 576 ) / 97344

= 507 / 576

= 507

Step2:

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

= 3 / 678

= 3

Step3:

LCM(3, 237) = 237

GCD(3, 237) = ( 3 x 237 ) / 237

= 3 / 237

= 3

So, Greatest Common Divisor of 507, 576, 678, 237 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 630, 735, 911
• GCD of 962, 661, 390, 473
• GCD of 477, 437, 384, 775
• GCD of 796, 948, 588, 686
• GCD of 434, 678, 859, 438

Given numbers are 507, 576, 678, 237
The greatest common divisor of numbers 507, 576, 678, 237 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 576, 678, 237 is 3.

1. What is the GCD of 507, 576, 678, 237?

GCD of given numbers 507, 576, 678, 237 is 3

2. How to calculate the greatest common divisor of 507, 576, 678, 237?

We can find the highest common divisor of 507, 576, 678, 237 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 507, 576, 678, 237 i.e 3.

3. How can I use the GCD of 507, 576, 678, 237Calculator?

Out the numbers 507, 576, 678, 237 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.