GCD of 921, 816, 400, 231 Calculator

Given Input numbers are 921, 816, 400, 231

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

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

GCD of numbers is the greatest common divisor

So, the GCD (921, 816, 400, 231) = 1.

Given numbers are 921, 816, 400, 231

The list of prime factors of all numbers are

Prime factors of 921 are 3 x 307

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 231 are 3 x 7 x 11

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

Given numbers are 921, 816, 400, 231

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

Apply this formula for all numbers.

Step1:

LCM(921, 816) = 250512

GCD(921, 816) = ( 921 x 816 ) / 250512

= 921 / 816

= 921

Step2:

LCM(3, 400) = 1200

GCD(3, 400) = ( 3 x 400 ) / 1200

= 3 / 400

= 3

Step3:

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

= 1 / 231

= 1

So, Greatest Common Divisor of 921, 816, 400, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 591, 878, 475
• GCD of 908, 340, 565, 709
• GCD of 351, 888, 986, 714
• GCD of 990, 104, 215, 368
• GCD of 701, 385, 794, 134

Given numbers are 921, 816, 400, 231
The greatest common divisor of numbers 921, 816, 400, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 816, 400, 231 is 1.

1. What is the GCD of 921, 816, 400, 231?

GCD of given numbers 921, 816, 400, 231 is 1

2. How to calculate the greatest common divisor of 921, 816, 400, 231?

We can find the highest common divisor of 921, 816, 400, 231 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 921, 816, 400, 231 i.e 1.

3. How can I use the GCD of 921, 816, 400, 231Calculator?

Out the numbers 921, 816, 400, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.