GCD of 509, 502, 438, 648 Calculator

Given Input numbers are 509, 502, 438, 648

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

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (509, 502, 438, 648) = 1.

Given numbers are 509, 502, 438, 648

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 502 are 2 x 251

Prime factors of 438 are 2 x 3 x 73

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Given numbers are 509, 502, 438, 648

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

Apply this formula for all numbers.

Step1:

LCM(509, 502) = 255518

GCD(509, 502) = ( 509 x 502 ) / 255518

= 509 / 502

= 509

Step2:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

Step3:

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

= 1 / 648

= 1

So, Greatest Common Divisor of 509, 502, 438, 648 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 429, 276, 488
• GCD of 238, 775, 233, 442
• GCD of 681, 430, 849, 276
• GCD of 260, 417, 873, 600
• GCD of 958, 546, 658, 383

Given numbers are 509, 502, 438, 648
The greatest common divisor of numbers 509, 502, 438, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 502, 438, 648 is 1.

1. What is the GCD of 509, 502, 438, 648?

GCD of given numbers 509, 502, 438, 648 is 1

2. How to calculate the greatest common divisor of 509, 502, 438, 648?

We can find the highest common divisor of 509, 502, 438, 648 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 509, 502, 438, 648 i.e 1.

3. How can I use the GCD of 509, 502, 438, 648Calculator?

Out the numbers 509, 502, 438, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.