GCD of 428, 341, 403, 200 Calculator

Given Input numbers are 428, 341, 403, 200

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 341 :

The positive integer divisors of 341 that completely divides 341 are.

1, 11, 31, 341

Divisors of 403 :

The positive integer divisors of 403 that completely divides 403 are.

1, 13, 31, 403

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

GCD of numbers is the greatest common divisor

So, the GCD (428, 341, 403, 200) = 1.

Given numbers are 428, 341, 403, 200

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 341 are 11 x 31

Prime factors of 403 are 13 x 31

Prime factors of 200 are 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 428, 341, 403, 200

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

Apply this formula for all numbers.

Step1:

LCM(428, 341) = 145948

GCD(428, 341) = ( 428 x 341 ) / 145948

= 428 / 341

= 428

Step2:

LCM(1, 403) = 403

GCD(1, 403) = ( 1 x 403 ) / 403

= 1 / 403

= 1

Step3:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

So, Greatest Common Divisor of 428, 341, 403, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 287, 694, 761
• GCD of 277, 266, 798, 445
• GCD of 243, 903, 764, 657
• GCD of 927, 673, 395, 566
• GCD of 520, 781, 607, 737

Given numbers are 428, 341, 403, 200
The greatest common divisor of numbers 428, 341, 403, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 341, 403, 200 is 1.

1. What is the GCD of 428, 341, 403, 200?

GCD of given numbers 428, 341, 403, 200 is 1

2. How to calculate the greatest common divisor of 428, 341, 403, 200?

We can find the highest common divisor of 428, 341, 403, 200 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 428, 341, 403, 200 i.e 1.

3. How can I use the GCD of 428, 341, 403, 200Calculator?

Out the numbers 428, 341, 403, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.