GCD of 200, 972, 713, 811 Calculator

Given Input numbers are 200, 972, 713, 811

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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 811 :

The positive integer divisors of 811 that completely divides 811 are.

1, 811

GCD of numbers is the greatest common divisor

So, the GCD (200, 972, 713, 811) = 1.

Given numbers are 200, 972, 713, 811

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 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 713 are 23 x 31

Prime factors of 811 are 811

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

Given numbers are 200, 972, 713, 811

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

Apply this formula for all numbers.

Step1:

LCM(200, 972) = 48600

GCD(200, 972) = ( 200 x 972 ) / 48600

= 200 / 972

= 200

Step2:

LCM(4, 713) = 2852

GCD(4, 713) = ( 4 x 713 ) / 2852

= 4 / 713

= 4

Step3:

LCM(1, 811) = 811

GCD(1, 811) = ( 1 x 811 ) / 811

= 1 / 811

= 1

So, Greatest Common Divisor of 200, 972, 713, 811 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 507, 839, 827
• GCD of 722, 187, 172, 154
• GCD of 697, 340, 564, 598
• GCD of 479, 842, 524, 418
• GCD of 648, 130, 867, 400

Given numbers are 200, 972, 713, 811
The greatest common divisor of numbers 200, 972, 713, 811 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 972, 713, 811 is 1.

1. What is the GCD of 200, 972, 713, 811?

GCD of given numbers 200, 972, 713, 811 is 1

2. How to calculate the greatest common divisor of 200, 972, 713, 811?

We can find the highest common divisor of 200, 972, 713, 811 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, 972, 713, 811 i.e 1.

3. How can I use the GCD of 200, 972, 713, 811Calculator?

Out the numbers 200, 972, 713, 811 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.