GCD of 318, 507, 747, 537 Calculator

Given Input numbers are 318, 507, 747, 537

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 507 :

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

1, 3, 13, 39, 169, 507

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

GCD of numbers is the greatest common divisor

So, the GCD (318, 507, 747, 537) = 3.

Given numbers are 318, 507, 747, 537

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 507 are 3 x 13 x 13

Prime factors of 747 are 3 x 3 x 83

Prime factors of 537 are 3 x 179

The highest common occurrence is 3¹

Therefore, GCD of 318, 507, 747, 537 is 3.

Given numbers are 318, 507, 747, 537

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

Apply this formula for all numbers.

Step1:

LCM(318, 507) = 53742

GCD(318, 507) = ( 318 x 507 ) / 53742

= 318 / 507

= 318

Step2:

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

= 3 / 747

= 3

Step3:

LCM(3, 537) = 537

GCD(3, 537) = ( 3 x 537 ) / 537

= 3 / 537

= 3

So, Greatest Common Divisor of 318, 507, 747, 537 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 910, 143, 388
• GCD of 987, 331, 677, 325
• GCD of 569, 768, 601, 259
• GCD of 782, 785, 818, 456
• GCD of 631, 251, 462, 177

Given numbers are 318, 507, 747, 537
The greatest common divisor of numbers 318, 507, 747, 537 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 507, 747, 537 is 3.

1. What is the GCD of 318, 507, 747, 537?

GCD of given numbers 318, 507, 747, 537 is 3

2. How to calculate the greatest common divisor of 318, 507, 747, 537?

We can find the highest common divisor of 318, 507, 747, 537 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 318, 507, 747, 537 i.e 3.

3. How can I use the GCD of 318, 507, 747, 537Calculator?

Out the numbers 318, 507, 747, 537 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.