GCD of 200, 494, 36, 965 Calculator

Given Input numbers are 200, 494, 36, 965

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 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

GCD of numbers is the greatest common divisor

So, the GCD (200, 494, 36, 965) = 1.

Given numbers are 200, 494, 36, 965

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 494 are 2 x 13 x 19

Prime factors of 36 are 2 x 2 x 3 x 3

Prime factors of 965 are 5 x 193

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

Given numbers are 200, 494, 36, 965

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

Apply this formula for all numbers.

Step1:

LCM(200, 494) = 49400

GCD(200, 494) = ( 200 x 494 ) / 49400

= 200 / 494

= 200

Step2:

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

= 2 / 36

= 2

Step3:

LCM(2, 965) = 1930

GCD(2, 965) = ( 2 x 965 ) / 1930

= 2 / 965

= 2

So, Greatest Common Divisor of 200, 494, 36, 965 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 323, 22, 718
• GCD of 254, 218, 62, 890
• GCD of 787, 766, 17, 417
• GCD of 342, 896, 69, 310
• GCD of 866, 409, 40, 985

Given numbers are 200, 494, 36, 965
The greatest common divisor of numbers 200, 494, 36, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 494, 36, 965 is 1.

1. What is the GCD of 200, 494, 36, 965?

GCD of given numbers 200, 494, 36, 965 is 1

2. How to calculate the greatest common divisor of 200, 494, 36, 965?

We can find the highest common divisor of 200, 494, 36, 965 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, 494, 36, 965 i.e 1.

3. How can I use the GCD of 200, 494, 36, 965Calculator?

Out the numbers 200, 494, 36, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.