GCD of 217, 200, 976, 728 Calculator

Given Input numbers are 217, 200, 976, 728

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

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

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 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (217, 200, 976, 728) = 1.

Given numbers are 217, 200, 976, 728

The list of prime factors of all numbers are

Prime factors of 217 are 7 x 31

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Given numbers are 217, 200, 976, 728

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

Apply this formula for all numbers.

Step1:

LCM(217, 200) = 43400

GCD(217, 200) = ( 217 x 200 ) / 43400

= 217 / 200

= 217

Step2:

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

= 1 / 976

= 1

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 217, 200, 976, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 591, 872, 577
• GCD of 953, 328, 320, 639
• GCD of 806, 876, 141, 362
• GCD of 289, 704, 985, 427
• GCD of 524, 332, 936, 146

Given numbers are 217, 200, 976, 728
The greatest common divisor of numbers 217, 200, 976, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 217, 200, 976, 728 is 1.

1. What is the GCD of 217, 200, 976, 728?

GCD of given numbers 217, 200, 976, 728 is 1

2. How to calculate the greatest common divisor of 217, 200, 976, 728?

We can find the highest common divisor of 217, 200, 976, 728 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 217, 200, 976, 728 i.e 1.

3. How can I use the GCD of 217, 200, 976, 728Calculator?

Out the numbers 217, 200, 976, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.