GCD of 562, 500, 920, 686 Calculator

Given Input numbers are 562, 500, 920, 686

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

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

GCD of numbers is the greatest common divisor

So, the GCD (562, 500, 920, 686) = 2.

Given numbers are 562, 500, 920, 686

The list of prime factors of all numbers are

Prime factors of 562 are 2 x 281

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 686 are 2 x 7 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 562, 500, 920, 686 is 2.

Given numbers are 562, 500, 920, 686

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

Apply this formula for all numbers.

Step1:

LCM(562, 500) = 140500

GCD(562, 500) = ( 562 x 500 ) / 140500

= 562 / 500

= 562

Step2:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2

Step3:

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

= 2 / 686

= 2

So, Greatest Common Divisor of 562, 500, 920, 686 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 232, 423, 968
• GCD of 748, 214, 954, 180
• GCD of 282, 809, 130, 998
• GCD of 205, 540, 623, 505
• GCD of 475, 697, 978, 312

Given numbers are 562, 500, 920, 686
The greatest common divisor of numbers 562, 500, 920, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 562, 500, 920, 686 is 2.

1. What is the GCD of 562, 500, 920, 686?

GCD of given numbers 562, 500, 920, 686 is 2

2. How to calculate the greatest common divisor of 562, 500, 920, 686?

We can find the highest common divisor of 562, 500, 920, 686 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 562, 500, 920, 686 i.e 2.

3. How can I use the GCD of 562, 500, 920, 686Calculator?

Out the numbers 562, 500, 920, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.