GCD of 381, 200, 409, 752 Calculator

Given Input numbers are 381, 200, 409, 752

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

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

GCD of numbers is the greatest common divisor

So, the GCD (381, 200, 409, 752) = 1.

Given numbers are 381, 200, 409, 752

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 409 are 409

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

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

Given numbers are 381, 200, 409, 752

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

Apply this formula for all numbers.

Step1:

LCM(381, 200) = 76200

GCD(381, 200) = ( 381 x 200 ) / 76200

= 381 / 200

= 381

Step2:

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

= 1 / 409

= 1

Step3:

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

= 1 / 752

= 1

So, Greatest Common Divisor of 381, 200, 409, 752 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 405, 585, 560
• GCD of 430, 507, 103, 932
• GCD of 735, 947, 323, 235
• GCD of 171, 288, 634, 866
• GCD of 987, 709, 105, 952

Given numbers are 381, 200, 409, 752
The greatest common divisor of numbers 381, 200, 409, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 200, 409, 752 is 1.

1. What is the GCD of 381, 200, 409, 752?

GCD of given numbers 381, 200, 409, 752 is 1

2. How to calculate the greatest common divisor of 381, 200, 409, 752?

We can find the highest common divisor of 381, 200, 409, 752 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 381, 200, 409, 752 i.e 1.

3. How can I use the GCD of 381, 200, 409, 752Calculator?

Out the numbers 381, 200, 409, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.