GCD of 816, 400, 985, 838 Calculator

Given Input numbers are 816, 400, 985, 838

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

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 985 :

The positive integer divisors of 985 that completely divides 985 are.

1, 5, 197, 985

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (816, 400, 985, 838) = 1.

Given numbers are 816, 400, 985, 838

The list of prime factors of all numbers are

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 985 are 5 x 197

Prime factors of 838 are 2 x 419

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

Given numbers are 816, 400, 985, 838

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

Apply this formula for all numbers.

Step1:

LCM(816, 400) = 20400

GCD(816, 400) = ( 816 x 400 ) / 20400

= 816 / 400

= 816

Step2:

LCM(16, 985) = 15760

GCD(16, 985) = ( 16 x 985 ) / 15760

= 16 / 985

= 16

Step3:

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

= 1 / 838

= 1

So, Greatest Common Divisor of 816, 400, 985, 838 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 844, 754, 332, 336
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Given numbers are 816, 400, 985, 838
The greatest common divisor of numbers 816, 400, 985, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 400, 985, 838 is 1.

1. What is the GCD of 816, 400, 985, 838?

GCD of given numbers 816, 400, 985, 838 is 1

2. How to calculate the greatest common divisor of 816, 400, 985, 838?

We can find the highest common divisor of 816, 400, 985, 838 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 816, 400, 985, 838 i.e 1.

3. How can I use the GCD of 816, 400, 985, 838Calculator?

Out the numbers 816, 400, 985, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.