GCD of 428, 208, 38, 410 Calculator

Given Input numbers are 428, 208, 38, 410

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 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

GCD of numbers is the greatest common divisor

So, the GCD (428, 208, 38, 410) = 2.

Given numbers are 428, 208, 38, 410

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 38 are 2 x 19

Prime factors of 410 are 2 x 5 x 41

The highest common occurrence is 2¹

Therefore, GCD of 428, 208, 38, 410 is 2.

Given numbers are 428, 208, 38, 410

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

Apply this formula for all numbers.

Step1:

LCM(428, 208) = 22256

GCD(428, 208) = ( 428 x 208 ) / 22256

= 428 / 208

= 428

Step2:

LCM(4, 38) = 76

GCD(4, 38) = ( 4 x 38 ) / 76

= 4 / 38

= 4

Step3:

LCM(2, 410) = 410

GCD(2, 410) = ( 2 x 410 ) / 410

= 2 / 410

= 2

So, Greatest Common Divisor of 428, 208, 38, 410 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 837, 21, 772
• GCD of 234, 923, 85, 809
• GCD of 462, 728, 20, 466
• GCD of 577, 299, 76, 506
• GCD of 958, 689, 61, 960

Given numbers are 428, 208, 38, 410
The greatest common divisor of numbers 428, 208, 38, 410 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 208, 38, 410 is 2.

1. What is the GCD of 428, 208, 38, 410?

GCD of given numbers 428, 208, 38, 410 is 2

2. How to calculate the greatest common divisor of 428, 208, 38, 410?

We can find the highest common divisor of 428, 208, 38, 410 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, 208, 38, 410 i.e 2.

3. How can I use the GCD of 428, 208, 38, 410Calculator?

Out the numbers 428, 208, 38, 410 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.