GCD of 400, 600, 365, 362 Calculator

Given Input numbers are 400, 600, 365, 362

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 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 365 :

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

1, 5, 73, 365

Divisors of 362 :

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

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (400, 600, 365, 362) = 1.

Given numbers are 400, 600, 365, 362

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 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 365 are 5 x 73

Prime factors of 362 are 2 x 181

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

Given numbers are 400, 600, 365, 362

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

Apply this formula for all numbers.

Step1:

LCM(400, 600) = 1200

GCD(400, 600) = ( 400 x 600 ) / 1200

= 400 / 600

= 400

Step2:

LCM(200, 365) = 14600

GCD(200, 365) = ( 200 x 365 ) / 14600

= 200 / 365

= 200

Step3:

LCM(5, 362) = 1810

GCD(5, 362) = ( 5 x 362 ) / 1810

= 5 / 362

= 5

So, Greatest Common Divisor of 400, 600, 365, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 592, 436, 111, 109
• GCD of 972, 676, 692, 579
• GCD of 345, 776, 695, 981
• GCD of 594, 284, 716, 491
• GCD of 811, 744, 911, 391

Given numbers are 400, 600, 365, 362
The greatest common divisor of numbers 400, 600, 365, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 600, 365, 362 is 1.

1. What is the GCD of 400, 600, 365, 362?

GCD of given numbers 400, 600, 365, 362 is 1

2. How to calculate the greatest common divisor of 400, 600, 365, 362?

We can find the highest common divisor of 400, 600, 365, 362 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, 600, 365, 362 i.e 1.

3. How can I use the GCD of 400, 600, 365, 362Calculator?

Out the numbers 400, 600, 365, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.