GCD of 200, 721, 845, 465 Calculator

Given Input numbers are 200, 721, 845, 465

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 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 845 :

The positive integer divisors of 845 that completely divides 845 are.

1, 5, 13, 65, 169, 845

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

GCD of numbers is the greatest common divisor

So, the GCD (200, 721, 845, 465) = 1.

Given numbers are 200, 721, 845, 465

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 721 are 7 x 103

Prime factors of 845 are 5 x 13 x 13

Prime factors of 465 are 3 x 5 x 31

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

Given numbers are 200, 721, 845, 465

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

Apply this formula for all numbers.

Step1:

LCM(200, 721) = 144200

GCD(200, 721) = ( 200 x 721 ) / 144200

= 200 / 721

= 200

Step2:

LCM(1, 845) = 845

GCD(1, 845) = ( 1 x 845 ) / 845

= 1 / 845

= 1

Step3:

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

= 1 / 465

= 1

So, Greatest Common Divisor of 200, 721, 845, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 985, 453, 236
• GCD of 861, 872, 608, 625
• GCD of 108, 209, 433, 301
• GCD of 106, 825, 958, 980
• GCD of 359, 384, 307, 107

Given numbers are 200, 721, 845, 465
The greatest common divisor of numbers 200, 721, 845, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 721, 845, 465 is 1.

1. What is the GCD of 200, 721, 845, 465?

GCD of given numbers 200, 721, 845, 465 is 1

2. How to calculate the greatest common divisor of 200, 721, 845, 465?

We can find the highest common divisor of 200, 721, 845, 465 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, 721, 845, 465 i.e 1.

3. How can I use the GCD of 200, 721, 845, 465Calculator?

Out the numbers 200, 721, 845, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.