GCD of 200, 137, 997, 825 Calculator

Given Input numbers are 200, 137, 997, 825

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 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (200, 137, 997, 825) = 1.

Given numbers are 200, 137, 997, 825

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 137 are 137

Prime factors of 997 are 997

Prime factors of 825 are 3 x 5 x 5 x 11

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

Given numbers are 200, 137, 997, 825

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

Apply this formula for all numbers.

Step1:

LCM(200, 137) = 27400

GCD(200, 137) = ( 200 x 137 ) / 27400

= 200 / 137

= 200

Step2:

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

= 1 / 997

= 1

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 200, 137, 997, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 570, 553, 758, 863
• GCD of 646, 191, 919, 655
• GCD of 881, 494, 185, 136
• GCD of 560, 110, 775, 184
• GCD of 972, 752, 134, 497

Given numbers are 200, 137, 997, 825
The greatest common divisor of numbers 200, 137, 997, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 137, 997, 825 is 1.

1. What is the GCD of 200, 137, 997, 825?

GCD of given numbers 200, 137, 997, 825 is 1

2. How to calculate the greatest common divisor of 200, 137, 997, 825?

We can find the highest common divisor of 200, 137, 997, 825 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, 137, 997, 825 i.e 1.

3. How can I use the GCD of 200, 137, 997, 825Calculator?

Out the numbers 200, 137, 997, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.