GCD of 106, 364, 385, 123 Calculator

Given Input numbers are 106, 364, 385, 123

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

GCD of numbers is the greatest common divisor

So, the GCD (106, 364, 385, 123) = 1.

Given numbers are 106, 364, 385, 123

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 385 are 5 x 7 x 11

Prime factors of 123 are 3 x 41

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

Given numbers are 106, 364, 385, 123

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

Apply this formula for all numbers.

Step1:

LCM(106, 364) = 19292

GCD(106, 364) = ( 106 x 364 ) / 19292

= 106 / 364

= 106

Step2:

LCM(2, 385) = 770

GCD(2, 385) = ( 2 x 385 ) / 770

= 2 / 385

= 2

Step3:

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

= 1 / 123

= 1

So, Greatest Common Divisor of 106, 364, 385, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 252, 862, 160
• GCD of 190, 837, 112, 623
• GCD of 409, 726, 756, 919
• GCD of 598, 253, 681, 842
• GCD of 626, 893, 125, 767

Given numbers are 106, 364, 385, 123
The greatest common divisor of numbers 106, 364, 385, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 364, 385, 123 is 1.

1. What is the GCD of 106, 364, 385, 123?

GCD of given numbers 106, 364, 385, 123 is 1

2. How to calculate the greatest common divisor of 106, 364, 385, 123?

We can find the highest common divisor of 106, 364, 385, 123 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, 364, 385, 123 i.e 1.

3. How can I use the GCD of 106, 364, 385, 123Calculator?

Out the numbers 106, 364, 385, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.