GCD of 380, 559, 24, 742 Calculator

Given Input numbers are 380, 559, 24, 742

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

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

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (380, 559, 24, 742) = 1.

Given numbers are 380, 559, 24, 742

The list of prime factors of all numbers are

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

Prime factors of 559 are 13 x 43

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 380, 559, 24, 742

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

Apply this formula for all numbers.

Step1:

LCM(380, 559) = 212420

GCD(380, 559) = ( 380 x 559 ) / 212420

= 380 / 559

= 380

Step2:

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

= 1 / 24

= 1

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 380, 559, 24, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 364, 87, 701
• GCD of 184, 366, 76, 845
• GCD of 240, 482, 89, 390
• GCD of 435, 105, 26, 144
• GCD of 590, 440, 85, 960

Given numbers are 380, 559, 24, 742
The greatest common divisor of numbers 380, 559, 24, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 559, 24, 742 is 1.

1. What is the GCD of 380, 559, 24, 742?

GCD of given numbers 380, 559, 24, 742 is 1

2. How to calculate the greatest common divisor of 380, 559, 24, 742?

We can find the highest common divisor of 380, 559, 24, 742 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 380, 559, 24, 742 i.e 1.

3. How can I use the GCD of 380, 559, 24, 742Calculator?

Out the numbers 380, 559, 24, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.