GCD of 200, 258, 401, 380 Calculator

Given Input numbers are 200, 258, 401, 380

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

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 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 401 :

The positive integer divisors of 401 that completely divides 401 are.

1, 401

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (200, 258, 401, 380) = 1.

Given numbers are 200, 258, 401, 380

The list of prime factors of all numbers are

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

Prime factors of 258 are 2 x 3 x 43

Prime factors of 401 are 401

Prime factors of 380 are 2 x 2 x 5 x 19

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

Given numbers are 200, 258, 401, 380

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

Apply this formula for all numbers.

Step1:

LCM(200, 258) = 25800

GCD(200, 258) = ( 200 x 258 ) / 25800

= 200 / 258

= 200

Step2:

LCM(2, 401) = 802

GCD(2, 401) = ( 2 x 401 ) / 802

= 2 / 401

= 2

Step3:

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

= 1 / 380

= 1

So, Greatest Common Divisor of 200, 258, 401, 380 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 770, 315, 898, 470
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• GCD of 834, 504, 137, 416
• GCD of 559, 705, 364, 745
• GCD of 162, 452, 654, 632

Given numbers are 200, 258, 401, 380
The greatest common divisor of numbers 200, 258, 401, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 258, 401, 380 is 1.

1. What is the GCD of 200, 258, 401, 380?

GCD of given numbers 200, 258, 401, 380 is 1

2. How to calculate the greatest common divisor of 200, 258, 401, 380?

We can find the highest common divisor of 200, 258, 401, 380 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 200, 258, 401, 380 i.e 1.

3. How can I use the GCD of 200, 258, 401, 380Calculator?

Out the numbers 200, 258, 401, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.