GCD of 296, 363, 742, 923 Calculator

Given Input numbers are 296, 363, 742, 923

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 742 :

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

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

Divisors of 923 :

The positive integer divisors of 923 that completely divides 923 are.

1, 13, 71, 923

GCD of numbers is the greatest common divisor

So, the GCD (296, 363, 742, 923) = 1.

Given numbers are 296, 363, 742, 923

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 363 are 3 x 11 x 11

Prime factors of 742 are 2 x 7 x 53

Prime factors of 923 are 13 x 71

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

Given numbers are 296, 363, 742, 923

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

Apply this formula for all numbers.

Step1:

LCM(296, 363) = 107448

GCD(296, 363) = ( 296 x 363 ) / 107448

= 296 / 363

= 296

Step2:

LCM(1, 742) = 742

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

= 1 / 742

= 1

Step3:

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

= 1 / 923

= 1

So, Greatest Common Divisor of 296, 363, 742, 923 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 950, 527, 856
• GCD of 650, 393, 218, 594
• GCD of 414, 464, 207, 247
• GCD of 658, 318, 114, 209
• GCD of 601, 316, 646, 936

Given numbers are 296, 363, 742, 923
The greatest common divisor of numbers 296, 363, 742, 923 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 363, 742, 923 is 1.

1. What is the GCD of 296, 363, 742, 923?

GCD of given numbers 296, 363, 742, 923 is 1

2. How to calculate the greatest common divisor of 296, 363, 742, 923?

We can find the highest common divisor of 296, 363, 742, 923 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 296, 363, 742, 923 i.e 1.

3. How can I use the GCD of 296, 363, 742, 923Calculator?

Out the numbers 296, 363, 742, 923 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.