GCD of 200, 185, 969 Calculator

Given Input numbers are 200, 185, 969

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 185 :

The positive integer divisors of 185 that completely divides 185 are.

1, 5, 37, 185

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

GCD of numbers is the greatest common divisor

So, the GCD (200, 185, 969) = 1.

Given numbers are 200, 185, 969

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 185 are 5 x 37

Prime factors of 969 are 3 x 17 x 19

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

Given numbers are 200, 185, 969

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

Apply this formula for all numbers.

Step1:

LCM(200, 185) = 7400

GCD(200, 185) = ( 200 x 185 ) / 7400

= 200 / 185

= 200

Step2:

LCM(5, 969) = 4845

GCD(5, 969) = ( 5 x 969 ) / 4845

= 5 / 969

= 5

So, Greatest Common Divisor of 200, 185, 969 is 1

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Given numbers are 200, 185, 969
The greatest common divisor of numbers 200, 185, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 185, 969 is 1.

1. What is the GCD of 200, 185, 969?

GCD of given numbers 200, 185, 969 is 1

2. How to calculate the greatest common divisor of 200, 185, 969?

We can find the highest common divisor of 200, 185, 969 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, 185, 969 i.e 1.

3. How can I use the GCD of 200, 185, 969Calculator?

Out the numbers 200, 185, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.