GCD of 393, 574, 742, 920 Calculator

Given Input numbers are 393, 574, 742, 920

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

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 742 :

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

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (393, 574, 742, 920) = 1.

Given numbers are 393, 574, 742, 920

The list of prime factors of all numbers are

Prime factors of 393 are 3 x 131

Prime factors of 574 are 2 x 7 x 41

Prime factors of 742 are 2 x 7 x 53

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Given numbers are 393, 574, 742, 920

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

Apply this formula for all numbers.

Step1:

LCM(393, 574) = 225582

GCD(393, 574) = ( 393 x 574 ) / 225582

= 393 / 574

= 393

Step2:

LCM(1, 742) = 742

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

= 1 / 742

= 1

Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

So, Greatest Common Divisor of 393, 574, 742, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 583, 991, 921
• GCD of 356, 559, 752, 838
• GCD of 995, 539, 701, 972
• GCD of 359, 278, 806, 571
• GCD of 354, 513, 683, 150

Given numbers are 393, 574, 742, 920
The greatest common divisor of numbers 393, 574, 742, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 393, 574, 742, 920 is 1.

1. What is the GCD of 393, 574, 742, 920?

GCD of given numbers 393, 574, 742, 920 is 1

2. How to calculate the greatest common divisor of 393, 574, 742, 920?

We can find the highest common divisor of 393, 574, 742, 920 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 393, 574, 742, 920 i.e 1.

3. How can I use the GCD of 393, 574, 742, 920Calculator?

Out the numbers 393, 574, 742, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.