GCD of 362, 400, 755, 171 Calculator

Given Input numbers are 362, 400, 755, 171

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

Divisors of 362 :

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

1, 2, 181, 362

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 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (362, 400, 755, 171) = 1.

Given numbers are 362, 400, 755, 171

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

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

Prime factors of 755 are 5 x 151

Prime factors of 171 are 3 x 3 x 19

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

Given numbers are 362, 400, 755, 171

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

Apply this formula for all numbers.

Step1:

LCM(362, 400) = 72400

GCD(362, 400) = ( 362 x 400 ) / 72400

= 362 / 400

= 362

Step2:

LCM(2, 755) = 1510

GCD(2, 755) = ( 2 x 755 ) / 1510

= 2 / 755

= 2

Step3:

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

= 1 / 171

= 1

So, Greatest Common Divisor of 362, 400, 755, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 540, 829, 571
• GCD of 423, 943, 218, 239
• GCD of 531, 815, 909, 186
• GCD of 993, 201, 743, 849
• GCD of 498, 806, 798, 952

Given numbers are 362, 400, 755, 171
The greatest common divisor of numbers 362, 400, 755, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 400, 755, 171 is 1.

1. What is the GCD of 362, 400, 755, 171?

GCD of given numbers 362, 400, 755, 171 is 1

2. How to calculate the greatest common divisor of 362, 400, 755, 171?

We can find the highest common divisor of 362, 400, 755, 171 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 362, 400, 755, 171 i.e 1.

3. How can I use the GCD of 362, 400, 755, 171Calculator?

Out the numbers 362, 400, 755, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.