GCD of 731, 952, 923, 789 Calculator

Given Input numbers are 731, 952, 923, 789

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

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 923 :

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

1, 13, 71, 923

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (731, 952, 923, 789) = 1.

Given numbers are 731, 952, 923, 789

The list of prime factors of all numbers are

Prime factors of 731 are 17 x 43

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 923 are 13 x 71

Prime factors of 789 are 3 x 263

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

Given numbers are 731, 952, 923, 789

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

Apply this formula for all numbers.

Step1:

LCM(731, 952) = 40936

GCD(731, 952) = ( 731 x 952 ) / 40936

= 731 / 952

= 731

Step2:

LCM(17, 923) = 15691

GCD(17, 923) = ( 17 x 923 ) / 15691

= 17 / 923

= 17

Step3:

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

= 1 / 789

= 1

So, Greatest Common Divisor of 731, 952, 923, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 625, 227, 689
• GCD of 548, 291, 909, 395
• GCD of 692, 891, 872, 196
• GCD of 279, 885, 131, 352
• GCD of 400, 866, 341, 441

Given numbers are 731, 952, 923, 789
The greatest common divisor of numbers 731, 952, 923, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 731, 952, 923, 789 is 1.

1. What is the GCD of 731, 952, 923, 789?

GCD of given numbers 731, 952, 923, 789 is 1

2. How to calculate the greatest common divisor of 731, 952, 923, 789?

We can find the highest common divisor of 731, 952, 923, 789 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 731, 952, 923, 789 i.e 1.

3. How can I use the GCD of 731, 952, 923, 789Calculator?

Out the numbers 731, 952, 923, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.