GCD of 400, 969, 355, 360 Calculator

Given Input numbers are 400, 969, 355, 360

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 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (400, 969, 355, 360) = 1.

Given numbers are 400, 969, 355, 360

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 969 are 3 x 17 x 19

Prime factors of 355 are 5 x 71

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 400, 969, 355, 360

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

Apply this formula for all numbers.

Step1:

LCM(400, 969) = 387600

GCD(400, 969) = ( 400 x 969 ) / 387600

= 400 / 969

= 400

Step2:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 400, 969, 355, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 910, 261, 542
• GCD of 706, 304, 361, 346
• GCD of 299, 947, 487, 190
• GCD of 588, 418, 293, 462
• GCD of 999, 542, 957, 230

Given numbers are 400, 969, 355, 360
The greatest common divisor of numbers 400, 969, 355, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 969, 355, 360 is 1.

1. What is the GCD of 400, 969, 355, 360?

GCD of given numbers 400, 969, 355, 360 is 1

2. How to calculate the greatest common divisor of 400, 969, 355, 360?

We can find the highest common divisor of 400, 969, 355, 360 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, 969, 355, 360 i.e 1.

3. How can I use the GCD of 400, 969, 355, 360Calculator?

Out the numbers 400, 969, 355, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.