GCD of 400, 404, 849, 997 Calculator

Given Input numbers are 400, 404, 849, 997

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 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

GCD of numbers is the greatest common divisor

So, the GCD (400, 404, 849, 997) = 1.

Given numbers are 400, 404, 849, 997

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 404 are 2 x 2 x 101

Prime factors of 849 are 3 x 283

Prime factors of 997 are 997

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

Given numbers are 400, 404, 849, 997

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

Apply this formula for all numbers.

Step1:

LCM(400, 404) = 40400

GCD(400, 404) = ( 400 x 404 ) / 40400

= 400 / 404

= 400

Step2:

LCM(4, 849) = 3396

GCD(4, 849) = ( 4 x 849 ) / 3396

= 4 / 849

= 4

Step3:

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

= 1 / 997

= 1

So, Greatest Common Divisor of 400, 404, 849, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 683, 396, 240, 370
• GCD of 650, 629, 418, 996
• GCD of 896, 257, 102, 799
• GCD of 380, 689, 391, 262
• GCD of 845, 606, 310, 932

Given numbers are 400, 404, 849, 997
The greatest common divisor of numbers 400, 404, 849, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 404, 849, 997 is 1.

1. What is the GCD of 400, 404, 849, 997?

GCD of given numbers 400, 404, 849, 997 is 1

2. How to calculate the greatest common divisor of 400, 404, 849, 997?

We can find the highest common divisor of 400, 404, 849, 997 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, 404, 849, 997 i.e 1.

3. How can I use the GCD of 400, 404, 849, 997Calculator?

Out the numbers 400, 404, 849, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.