GCD of 402, 646, 262, 508 Calculator

Given Input numbers are 402, 646, 262, 508

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

Divisors of 402 :

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

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

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (402, 646, 262, 508) = 2.

Given numbers are 402, 646, 262, 508

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 646 are 2 x 17 x 19

Prime factors of 262 are 2 x 131

Prime factors of 508 are 2 x 2 x 127

The highest common occurrence is 2¹

Therefore, GCD of 402, 646, 262, 508 is 2.

Given numbers are 402, 646, 262, 508

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

Apply this formula for all numbers.

Step1:

LCM(402, 646) = 129846

GCD(402, 646) = ( 402 x 646 ) / 129846

= 402 / 646

= 402

Step2:

LCM(2, 262) = 262

GCD(2, 262) = ( 2 x 262 ) / 262

= 2 / 262

= 2

Step3:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

So, Greatest Common Divisor of 402, 646, 262, 508 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 117, 499, 878
• GCD of 258, 112, 865, 598
• GCD of 779, 548, 221, 723
• GCD of 676, 875, 450, 284
• GCD of 968, 475, 427, 677

Given numbers are 402, 646, 262, 508
The greatest common divisor of numbers 402, 646, 262, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 646, 262, 508 is 2.

1. What is the GCD of 402, 646, 262, 508?

GCD of given numbers 402, 646, 262, 508 is 2

2. How to calculate the greatest common divisor of 402, 646, 262, 508?

We can find the highest common divisor of 402, 646, 262, 508 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 402, 646, 262, 508 i.e 2.

3. How can I use the GCD of 402, 646, 262, 508Calculator?

Out the numbers 402, 646, 262, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.