GCD of 264, 380, 468, 507 Calculator

Given Input numbers are 264, 380, 468, 507

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 507 :

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

1, 3, 13, 39, 169, 507

GCD of numbers is the greatest common divisor

So, the GCD (264, 380, 468, 507) = 1.

Given numbers are 264, 380, 468, 507

The list of prime factors of all numbers are

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 507 are 3 x 13 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 264, 380, 468, 507

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

Apply this formula for all numbers.

Step1:

LCM(264, 380) = 25080

GCD(264, 380) = ( 264 x 380 ) / 25080

= 264 / 380

= 264

Step2:

LCM(4, 468) = 468

GCD(4, 468) = ( 4 x 468 ) / 468

= 4 / 468

= 4

Step3:

LCM(4, 507) = 2028

GCD(4, 507) = ( 4 x 507 ) / 2028

= 4 / 507

= 4

So, Greatest Common Divisor of 264, 380, 468, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 547, 655, 676
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Given numbers are 264, 380, 468, 507
The greatest common divisor of numbers 264, 380, 468, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 380, 468, 507 is 1.

1. What is the GCD of 264, 380, 468, 507?

GCD of given numbers 264, 380, 468, 507 is 1

2. How to calculate the greatest common divisor of 264, 380, 468, 507?

We can find the highest common divisor of 264, 380, 468, 507 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 264, 380, 468, 507 i.e 1.

3. How can I use the GCD of 264, 380, 468, 507Calculator?

Out the numbers 264, 380, 468, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.