GCD of 400, 290, 504, 897 Calculator

Given Input numbers are 400, 290, 504, 897

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 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

GCD of numbers is the greatest common divisor

So, the GCD (400, 290, 504, 897) = 1.

Given numbers are 400, 290, 504, 897

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 290 are 2 x 5 x 29

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 897 are 3 x 13 x 23

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

Given numbers are 400, 290, 504, 897

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

Apply this formula for all numbers.

Step1:

LCM(400, 290) = 11600

GCD(400, 290) = ( 400 x 290 ) / 11600

= 400 / 290

= 400

Step2:

LCM(10, 504) = 2520

GCD(10, 504) = ( 10 x 504 ) / 2520

= 10 / 504

= 10

Step3:

LCM(2, 897) = 1794

GCD(2, 897) = ( 2 x 897 ) / 1794

= 2 / 897

= 2

So, Greatest Common Divisor of 400, 290, 504, 897 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 122, 151, 408
• GCD of 220, 763, 768, 481
• GCD of 133, 452, 449, 805
• GCD of 706, 618, 935, 461
• GCD of 670, 570, 173, 986

Given numbers are 400, 290, 504, 897
The greatest common divisor of numbers 400, 290, 504, 897 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 290, 504, 897 is 1.

1. What is the GCD of 400, 290, 504, 897?

GCD of given numbers 400, 290, 504, 897 is 1

2. How to calculate the greatest common divisor of 400, 290, 504, 897?

We can find the highest common divisor of 400, 290, 504, 897 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, 290, 504, 897 i.e 1.

3. How can I use the GCD of 400, 290, 504, 897Calculator?

Out the numbers 400, 290, 504, 897 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.