GCD of 296, 362, 365, 400 Calculator

Given Input numbers are 296, 362, 365, 400

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

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

GCD of numbers is the greatest common divisor

So, the GCD (296, 362, 365, 400) = 1.

Given numbers are 296, 362, 365, 400

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 362 are 2 x 181

Prime factors of 365 are 5 x 73

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

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

Given numbers are 296, 362, 365, 400

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

Apply this formula for all numbers.

Step1:

LCM(296, 362) = 53576

GCD(296, 362) = ( 296 x 362 ) / 53576

= 296 / 362

= 296

Step2:

LCM(2, 365) = 730

GCD(2, 365) = ( 2 x 365 ) / 730

= 2 / 365

= 2

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 296, 362, 365, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 433, 625, 314
• GCD of 199, 824, 111, 541
• GCD of 699, 855, 462, 580
• GCD of 573, 164, 694, 845
• GCD of 853, 426, 801, 340

Given numbers are 296, 362, 365, 400
The greatest common divisor of numbers 296, 362, 365, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 362, 365, 400 is 1.

1. What is the GCD of 296, 362, 365, 400?

GCD of given numbers 296, 362, 365, 400 is 1

2. How to calculate the greatest common divisor of 296, 362, 365, 400?

We can find the highest common divisor of 296, 362, 365, 400 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 296, 362, 365, 400 i.e 1.

3. How can I use the GCD of 296, 362, 365, 400Calculator?

Out the numbers 296, 362, 365, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.