GCD of 637, 704, 585, 200 Calculator

Given Input numbers are 637, 704, 585, 200

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

Divisors of 637 :

The positive integer divisors of 637 that completely divides 637 are.

1, 7, 13, 49, 91, 637

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

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 (637, 704, 585, 200) = 1.

Given numbers are 637, 704, 585, 200

The list of prime factors of all numbers are

Prime factors of 637 are 7 x 7 x 13

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 585 are 3 x 3 x 5 x 13

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 637, 704, 585, 200

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

Apply this formula for all numbers.

Step1:

LCM(637, 704) = 448448

GCD(637, 704) = ( 637 x 704 ) / 448448

= 637 / 704

= 637

Step2:

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

= 1 / 585

= 1

Step3:

LCM(1, 200) = 200

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

= 1 / 200

= 1

So, Greatest Common Divisor of 637, 704, 585, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 699, 584, 595
• GCD of 469, 182, 741, 291
• GCD of 378, 906, 782, 615
• GCD of 901, 909, 276, 954
• GCD of 821, 317, 742, 908

Given numbers are 637, 704, 585, 200
The greatest common divisor of numbers 637, 704, 585, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 637, 704, 585, 200 is 1.

1. What is the GCD of 637, 704, 585, 200?

GCD of given numbers 637, 704, 585, 200 is 1

2. How to calculate the greatest common divisor of 637, 704, 585, 200?

We can find the highest common divisor of 637, 704, 585, 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 637, 704, 585, 200 i.e 1.

3. How can I use the GCD of 637, 704, 585, 200Calculator?

Out the numbers 637, 704, 585, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.