GCD of 500, 692, 220, 882 Calculator

Given Input numbers are 500, 692, 220, 882

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

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 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (500, 692, 220, 882) = 2.

Given numbers are 500, 692, 220, 882

The list of prime factors of all numbers are

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

Prime factors of 692 are 2 x 2 x 173

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 500, 692, 220, 882 is 2.

Given numbers are 500, 692, 220, 882

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

Apply this formula for all numbers.

Step1:

LCM(500, 692) = 86500

GCD(500, 692) = ( 500 x 692 ) / 86500

= 500 / 692

= 500

Step2:

LCM(4, 220) = 220

GCD(4, 220) = ( 4 x 220 ) / 220

= 4 / 220

= 4

Step3:

LCM(4, 882) = 1764

GCD(4, 882) = ( 4 x 882 ) / 1764

= 4 / 882

= 4

So, Greatest Common Divisor of 500, 692, 220, 882 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 117, 276, 501
• GCD of 727, 876, 482, 239
• GCD of 995, 643, 303, 131
• GCD of 404, 620, 910, 499
• GCD of 574, 165, 106, 194

Given numbers are 500, 692, 220, 882
The greatest common divisor of numbers 500, 692, 220, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 692, 220, 882 is 2.

1. What is the GCD of 500, 692, 220, 882?

GCD of given numbers 500, 692, 220, 882 is 2

2. How to calculate the greatest common divisor of 500, 692, 220, 882?

We can find the highest common divisor of 500, 692, 220, 882 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 500, 692, 220, 882 i.e 2.

3. How can I use the GCD of 500, 692, 220, 882Calculator?

Out the numbers 500, 692, 220, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.