GCD of 400, 801, 345, 216 Calculator

Given Input numbers are 400, 801, 345, 216

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

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 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (400, 801, 345, 216) = 1.

Given numbers are 400, 801, 345, 216

The list of prime factors of all numbers are

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

Prime factors of 801 are 3 x 3 x 89

Prime factors of 345 are 3 x 5 x 23

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 400, 801, 345, 216

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

Apply this formula for all numbers.

Step1:

LCM(400, 801) = 320400

GCD(400, 801) = ( 400 x 801 ) / 320400

= 400 / 801

= 400

Step2:

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

= 1 / 345

= 1

Step3:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1

So, Greatest Common Divisor of 400, 801, 345, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 562, 898, 752
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Given numbers are 400, 801, 345, 216
The greatest common divisor of numbers 400, 801, 345, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 801, 345, 216 is 1.

1. What is the GCD of 400, 801, 345, 216?

GCD of given numbers 400, 801, 345, 216 is 1

2. How to calculate the greatest common divisor of 400, 801, 345, 216?

We can find the highest common divisor of 400, 801, 345, 216 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 400, 801, 345, 216 i.e 1.

3. How can I use the GCD of 400, 801, 345, 216Calculator?

Out the numbers 400, 801, 345, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.