GCD of 506, 994, 520, 402 Calculator

Given Input numbers are 506, 994, 520, 402

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

Divisors of 506 :

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

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

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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 (506, 994, 520, 402) = 2.

Given numbers are 506, 994, 520, 402

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 994 are 2 x 7 x 71

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 2¹

Therefore, GCD of 506, 994, 520, 402 is 2.

Given numbers are 506, 994, 520, 402

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

Apply this formula for all numbers.

Step1:

LCM(506, 994) = 251482

GCD(506, 994) = ( 506 x 994 ) / 251482

= 506 / 994

= 506

Step2:

LCM(2, 520) = 520

GCD(2, 520) = ( 2 x 520 ) / 520

= 2 / 520

= 2

Step3:

LCM(2, 402) = 402

GCD(2, 402) = ( 2 x 402 ) / 402

= 2 / 402

= 2

So, Greatest Common Divisor of 506, 994, 520, 402 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 450, 681, 596
• GCD of 129, 896, 717, 444
• GCD of 593, 909, 949, 364
• GCD of 828, 783, 746, 884
• GCD of 607, 607, 247, 668

Given numbers are 506, 994, 520, 402
The greatest common divisor of numbers 506, 994, 520, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 994, 520, 402 is 2.

1. What is the GCD of 506, 994, 520, 402?

GCD of given numbers 506, 994, 520, 402 is 2

2. How to calculate the greatest common divisor of 506, 994, 520, 402?

We can find the highest common divisor of 506, 994, 520, 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 506, 994, 520, 402 i.e 2.

3. How can I use the GCD of 506, 994, 520, 402Calculator?

Out the numbers 506, 994, 520, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.