GCD of 123, 104, 724, 364 Calculator

Given Input numbers are 123, 104, 724, 364

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

Divisors of 123 :

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

1, 3, 41, 123

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

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

GCD of numbers is the greatest common divisor

So, the GCD (123, 104, 724, 364) = 1.

Given numbers are 123, 104, 724, 364

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 724 are 2 x 2 x 181

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

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

Given numbers are 123, 104, 724, 364

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

Apply this formula for all numbers.

Step1:

LCM(123, 104) = 12792

GCD(123, 104) = ( 123 x 104 ) / 12792

= 123 / 104

= 123

Step2:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1

Step3:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1

So, Greatest Common Divisor of 123, 104, 724, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 305, 469, 639
• GCD of 838, 387, 169, 630
• GCD of 722, 634, 240, 874
• GCD of 850, 274, 516, 835
• GCD of 315, 320, 599, 798

Given numbers are 123, 104, 724, 364
The greatest common divisor of numbers 123, 104, 724, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 104, 724, 364 is 1.

1. What is the GCD of 123, 104, 724, 364?

GCD of given numbers 123, 104, 724, 364 is 1

2. How to calculate the greatest common divisor of 123, 104, 724, 364?

We can find the highest common divisor of 123, 104, 724, 364 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 123, 104, 724, 364 i.e 1.

3. How can I use the GCD of 123, 104, 724, 364Calculator?

Out the numbers 123, 104, 724, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.