GCD of 566, 520, 560, 402 Calculator

Given Input numbers are 566, 520, 560, 402

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

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

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 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 (566, 520, 560, 402) = 2.

Given numbers are 566, 520, 560, 402

The list of prime factors of all numbers are

Prime factors of 566 are 2 x 283

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

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 2¹

Therefore, GCD of 566, 520, 560, 402 is 2.

Given numbers are 566, 520, 560, 402

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

Apply this formula for all numbers.

Step1:

LCM(566, 520) = 147160

GCD(566, 520) = ( 566 x 520 ) / 147160

= 566 / 520

= 566

Step2:

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

= 2 / 560

= 2

Step3:

LCM(2, 402) = 402

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

= 2 / 402

= 2

So, Greatest Common Divisor of 566, 520, 560, 402 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 245, 489, 133
• GCD of 493, 883, 100, 751
• GCD of 975, 320, 178, 289
• GCD of 733, 115, 755, 526
• GCD of 483, 479, 792, 735

Given numbers are 566, 520, 560, 402
The greatest common divisor of numbers 566, 520, 560, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 566, 520, 560, 402 is 2.

1. What is the GCD of 566, 520, 560, 402?

GCD of given numbers 566, 520, 560, 402 is 2

2. How to calculate the greatest common divisor of 566, 520, 560, 402?

We can find the highest common divisor of 566, 520, 560, 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 566, 520, 560, 402 i.e 2.

3. How can I use the GCD of 566, 520, 560, 402Calculator?

Out the numbers 566, 520, 560, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.