GCD of 200, 822, 392, 766 Calculator

Given Input numbers are 200, 822, 392, 766

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

GCD of numbers is the greatest common divisor

So, the GCD (200, 822, 392, 766) = 2.

Given numbers are 200, 822, 392, 766

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 822 are 2 x 3 x 137

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 766 are 2 x 383

The highest common occurrence is 2¹

Therefore, GCD of 200, 822, 392, 766 is 2.

Given numbers are 200, 822, 392, 766

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

Apply this formula for all numbers.

Step1:

LCM(200, 822) = 82200

GCD(200, 822) = ( 200 x 822 ) / 82200

= 200 / 822

= 200

Step2:

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

= 2 / 392

= 2

Step3:

LCM(2, 766) = 766

GCD(2, 766) = ( 2 x 766 ) / 766

= 2 / 766

= 2

So, Greatest Common Divisor of 200, 822, 392, 766 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 433, 114, 885
• GCD of 885, 632, 700, 133
• GCD of 811, 112, 386, 209
• GCD of 350, 310, 773, 132
• GCD of 621, 312, 185, 361

Given numbers are 200, 822, 392, 766
The greatest common divisor of numbers 200, 822, 392, 766 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 822, 392, 766 is 2.

1. What is the GCD of 200, 822, 392, 766?

GCD of given numbers 200, 822, 392, 766 is 2

2. How to calculate the greatest common divisor of 200, 822, 392, 766?

We can find the highest common divisor of 200, 822, 392, 766 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 200, 822, 392, 766 i.e 2.

3. How can I use the GCD of 200, 822, 392, 766Calculator?

Out the numbers 200, 822, 392, 766 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.