GCD of 159, 724, 369, 380 Calculator

Given Input numbers are 159, 724, 369, 380

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

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (159, 724, 369, 380) = 1.

Given numbers are 159, 724, 369, 380

The list of prime factors of all numbers are

Prime factors of 159 are 3 x 53

Prime factors of 724 are 2 x 2 x 181

Prime factors of 369 are 3 x 3 x 41

Prime factors of 380 are 2 x 2 x 5 x 19

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

Given numbers are 159, 724, 369, 380

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

Apply this formula for all numbers.

Step1:

LCM(159, 724) = 115116

GCD(159, 724) = ( 159 x 724 ) / 115116

= 159 / 724

= 159

Step2:

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

= 1 / 369

= 1

Step3:

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

= 1 / 380

= 1

So, Greatest Common Divisor of 159, 724, 369, 380 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 746, 324, 879
• GCD of 840, 861, 490, 488
• GCD of 901, 776, 589, 670
• GCD of 590, 942, 513, 106
• GCD of 268, 555, 726, 629

Given numbers are 159, 724, 369, 380
The greatest common divisor of numbers 159, 724, 369, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 724, 369, 380 is 1.

1. What is the GCD of 159, 724, 369, 380?

GCD of given numbers 159, 724, 369, 380 is 1

2. How to calculate the greatest common divisor of 159, 724, 369, 380?

We can find the highest common divisor of 159, 724, 369, 380 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 159, 724, 369, 380 i.e 1.

3. How can I use the GCD of 159, 724, 369, 380Calculator?

Out the numbers 159, 724, 369, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.