GCD of 106, 508, 684, 381 Calculator

Given Input numbers are 106, 508, 684, 381

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 381 :

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

1, 3, 127, 381

GCD of numbers is the greatest common divisor

So, the GCD (106, 508, 684, 381) = 1.

Given numbers are 106, 508, 684, 381

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 508 are 2 x 2 x 127

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 381 are 3 x 127

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

Given numbers are 106, 508, 684, 381

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

Apply this formula for all numbers.

Step1:

LCM(106, 508) = 26924

GCD(106, 508) = ( 106 x 508 ) / 26924

= 106 / 508

= 106

Step2:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

Step3:

LCM(2, 381) = 762

GCD(2, 381) = ( 2 x 381 ) / 762

= 2 / 381

= 2

So, Greatest Common Divisor of 106, 508, 684, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 985, 914, 507
• GCD of 817, 573, 443, 245
• GCD of 599, 720, 109, 385
• GCD of 102, 315, 237, 566
• GCD of 741, 482, 336, 331

Given numbers are 106, 508, 684, 381
The greatest common divisor of numbers 106, 508, 684, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 508, 684, 381 is 1.

1. What is the GCD of 106, 508, 684, 381?

GCD of given numbers 106, 508, 684, 381 is 1

2. How to calculate the greatest common divisor of 106, 508, 684, 381?

We can find the highest common divisor of 106, 508, 684, 381 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 106, 508, 684, 381 i.e 1.

3. How can I use the GCD of 106, 508, 684, 381Calculator?

Out the numbers 106, 508, 684, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.