GCD of 508, 642, 320, 654 Calculator

Given Input numbers are 508, 642, 320, 654

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (508, 642, 320, 654) = 2.

Given numbers are 508, 642, 320, 654

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 642 are 2 x 3 x 107

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 2¹

Therefore, GCD of 508, 642, 320, 654 is 2.

Given numbers are 508, 642, 320, 654

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

Apply this formula for all numbers.

Step1:

LCM(508, 642) = 163068

GCD(508, 642) = ( 508 x 642 ) / 163068

= 508 / 642

= 508

Step2:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2

Step3:

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

= 2 / 654

= 2

So, Greatest Common Divisor of 508, 642, 320, 654 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 284, 899, 953
• GCD of 371, 855, 320, 590
• GCD of 995, 284, 392, 179
• GCD of 278, 353, 308, 929
• GCD of 909, 304, 139, 436

Given numbers are 508, 642, 320, 654
The greatest common divisor of numbers 508, 642, 320, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 642, 320, 654 is 2.

1. What is the GCD of 508, 642, 320, 654?

GCD of given numbers 508, 642, 320, 654 is 2

2. How to calculate the greatest common divisor of 508, 642, 320, 654?

We can find the highest common divisor of 508, 642, 320, 654 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 508, 642, 320, 654 i.e 2.

3. How can I use the GCD of 508, 642, 320, 654Calculator?

Out the numbers 508, 642, 320, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.