GCD of 493, 396, 114, 200 Calculator

Given Input numbers are 493, 396, 114, 200

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

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

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 (493, 396, 114, 200) = 1.

Given numbers are 493, 396, 114, 200

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 114 are 2 x 3 x 19

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 493, 396, 114, 200

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

Apply this formula for all numbers.

Step1:

LCM(493, 396) = 195228

GCD(493, 396) = ( 493 x 396 ) / 195228

= 493 / 396

= 493

Step2:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1

Step3:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

So, Greatest Common Divisor of 493, 396, 114, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 864, 746, 493
• GCD of 281, 504, 531, 572
• GCD of 915, 476, 649, 729
• GCD of 641, 836, 892, 899
• GCD of 204, 638, 142, 845

Given numbers are 493, 396, 114, 200
The greatest common divisor of numbers 493, 396, 114, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 396, 114, 200 is 1.

1. What is the GCD of 493, 396, 114, 200?

GCD of given numbers 493, 396, 114, 200 is 1

2. How to calculate the greatest common divisor of 493, 396, 114, 200?

We can find the highest common divisor of 493, 396, 114, 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 493, 396, 114, 200 i.e 1.

3. How can I use the GCD of 493, 396, 114, 200Calculator?

Out the numbers 493, 396, 114, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.