GCD of 200, 788, 344, 135 Calculator

Given Input numbers are 200, 788, 344, 135

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 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (200, 788, 344, 135) = 1.

Given numbers are 200, 788, 344, 135

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 788 are 2 x 2 x 197

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 135 are 3 x 3 x 3 x 5

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

Given numbers are 200, 788, 344, 135

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

Apply this formula for all numbers.

Step1:

LCM(200, 788) = 39400

GCD(200, 788) = ( 200 x 788 ) / 39400

= 200 / 788

= 200

Step2:

LCM(4, 344) = 344

GCD(4, 344) = ( 4 x 344 ) / 344

= 4 / 344

= 4

Step3:

LCM(4, 135) = 540

GCD(4, 135) = ( 4 x 135 ) / 540

= 4 / 135

= 4

So, Greatest Common Divisor of 200, 788, 344, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 561, 997, 432, 912
• GCD of 123, 227, 476, 509
• GCD of 390, 369, 710, 536
• GCD of 453, 230, 433, 822
• GCD of 446, 154, 402, 878

Given numbers are 200, 788, 344, 135
The greatest common divisor of numbers 200, 788, 344, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 788, 344, 135 is 1.

1. What is the GCD of 200, 788, 344, 135?

GCD of given numbers 200, 788, 344, 135 is 1

2. How to calculate the greatest common divisor of 200, 788, 344, 135?

We can find the highest common divisor of 200, 788, 344, 135 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, 788, 344, 135 i.e 1.

3. How can I use the GCD of 200, 788, 344, 135Calculator?

Out the numbers 200, 788, 344, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.