GCD of 508, 506, 840, 642 Calculator

Given Input numbers are 508, 506, 840, 642

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 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 642 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (508, 506, 840, 642) = 2.

Given numbers are 508, 506, 840, 642

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 506 are 2 x 11 x 23

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 642 are 2 x 3 x 107

The highest common occurrence is 2¹

Therefore, GCD of 508, 506, 840, 642 is 2.

Given numbers are 508, 506, 840, 642

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

Apply this formula for all numbers.

Step1:

LCM(508, 506) = 128524

GCD(508, 506) = ( 508 x 506 ) / 128524

= 508 / 506

= 508

Step2:

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

= 2 / 840

= 2

Step3:

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

= 2 / 642

= 2

So, Greatest Common Divisor of 508, 506, 840, 642 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 374, 732, 421
• GCD of 471, 562, 206, 113
• GCD of 435, 257, 913, 265
• GCD of 375, 295, 513, 424
• GCD of 348, 433, 176, 746

Given numbers are 508, 506, 840, 642
The greatest common divisor of numbers 508, 506, 840, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 506, 840, 642 is 2.

1. What is the GCD of 508, 506, 840, 642?

GCD of given numbers 508, 506, 840, 642 is 2

2. How to calculate the greatest common divisor of 508, 506, 840, 642?

We can find the highest common divisor of 508, 506, 840, 642 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, 506, 840, 642 i.e 2.

3. How can I use the GCD of 508, 506, 840, 642Calculator?

Out the numbers 508, 506, 840, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.