GCD of 107, 364, 205, 824 Calculator

Given Input numbers are 107, 364, 205, 824

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

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

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 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (107, 364, 205, 824) = 1.

Given numbers are 107, 364, 205, 824

The list of prime factors of all numbers are

Prime factors of 107 are 107

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

Prime factors of 205 are 5 x 41

Prime factors of 824 are 2 x 2 x 2 x 103

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

Given numbers are 107, 364, 205, 824

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

Apply this formula for all numbers.

Step1:

LCM(107, 364) = 38948

GCD(107, 364) = ( 107 x 364 ) / 38948

= 107 / 364

= 107

Step2:

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

= 1 / 205

= 1

Step3:

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

= 1 / 824

= 1

So, Greatest Common Divisor of 107, 364, 205, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 647, 395, 765
• GCD of 272, 505, 600, 512
• GCD of 761, 989, 301, 331
• GCD of 299, 522, 932, 521
• GCD of 239, 657, 679, 919

Given numbers are 107, 364, 205, 824
The greatest common divisor of numbers 107, 364, 205, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 364, 205, 824 is 1.

1. What is the GCD of 107, 364, 205, 824?

GCD of given numbers 107, 364, 205, 824 is 1

2. How to calculate the greatest common divisor of 107, 364, 205, 824?

We can find the highest common divisor of 107, 364, 205, 824 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 107, 364, 205, 824 i.e 1.

3. How can I use the GCD of 107, 364, 205, 824Calculator?

Out the numbers 107, 364, 205, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.