GCD of 508, 240, 402 Calculator

Given Input numbers are 508, 240, 402

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 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (508, 240, 402) = 2.

Given numbers are 508, 240, 402

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 2¹

Therefore, GCD of 508, 240, 402 is 2.

Given numbers are 508, 240, 402

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

Apply this formula for all numbers.

Step1:

LCM(508, 240) = 30480

GCD(508, 240) = ( 508 x 240 ) / 30480

= 508 / 240

= 508

Step2:

LCM(4, 402) = 804

GCD(4, 402) = ( 4 x 402 ) / 804

= 4 / 402

= 4

So, Greatest Common Divisor of 508, 240, 402 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 185, 462
• GCD of 494, 280, 365
• GCD of 937, 300, 450
• GCD of 815, 227, 137
• GCD of 908, 482, 144

Given numbers are 508, 240, 402
The greatest common divisor of numbers 508, 240, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 240, 402 is 2.

1. What is the GCD of 508, 240, 402?

GCD of given numbers 508, 240, 402 is 2

2. How to calculate the greatest common divisor of 508, 240, 402?

We can find the highest common divisor of 508, 240, 402 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, 240, 402 i.e 2.

3. How can I use the GCD of 508, 240, 402Calculator?

Out the numbers 508, 240, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.