GCD of 645, 909, 852, 200 Calculator

Given Input numbers are 645, 909, 852, 200

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

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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

GCD of numbers is the greatest common divisor

So, the GCD (645, 909, 852, 200) = 1.

Given numbers are 645, 909, 852, 200

The list of prime factors of all numbers are

Prime factors of 645 are 3 x 5 x 43

Prime factors of 909 are 3 x 3 x 101

Prime factors of 852 are 2 x 2 x 3 x 71

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 645, 909, 852, 200

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

Apply this formula for all numbers.

Step1:

LCM(645, 909) = 195435

GCD(645, 909) = ( 645 x 909 ) / 195435

= 645 / 909

= 645

Step2:

LCM(3, 852) = 852

GCD(3, 852) = ( 3 x 852 ) / 852

= 3 / 852

= 3

Step3:

LCM(3, 200) = 600

GCD(3, 200) = ( 3 x 200 ) / 600

= 3 / 200

= 3

So, Greatest Common Divisor of 645, 909, 852, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 573, 458, 234
• GCD of 736, 777, 316, 499
• GCD of 637, 680, 476, 651
• GCD of 349, 741, 578, 959
• GCD of 281, 775, 287, 645

Given numbers are 645, 909, 852, 200
The greatest common divisor of numbers 645, 909, 852, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 909, 852, 200 is 1.

1. What is the GCD of 645, 909, 852, 200?

GCD of given numbers 645, 909, 852, 200 is 1

2. How to calculate the greatest common divisor of 645, 909, 852, 200?

We can find the highest common divisor of 645, 909, 852, 200 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 645, 909, 852, 200 i.e 1.

3. How can I use the GCD of 645, 909, 852, 200Calculator?

Out the numbers 645, 909, 852, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.