GCD of 513, 723, 975, 923 Calculator

Given Input numbers are 513, 723, 975, 923

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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 (513, 723, 975, 923) = 1.

Given numbers are 513, 723, 975, 923

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 723 are 3 x 241

Prime factors of 975 are 3 x 5 x 5 x 13

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 513, 723, 975, 923

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

Apply this formula for all numbers.

Step1:

LCM(513, 723) = 123633

GCD(513, 723) = ( 513 x 723 ) / 123633

= 513 / 723

= 513

Step2:

LCM(3, 975) = 975

GCD(3, 975) = ( 3 x 975 ) / 975

= 3 / 975

= 3

Step3:

LCM(3, 923) = 2769

GCD(3, 923) = ( 3 x 923 ) / 2769

= 3 / 923

= 3

So, Greatest Common Divisor of 513, 723, 975, 923 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 308, 756, 874
• GCD of 129, 363, 100, 634
• GCD of 814, 487, 363, 705
• GCD of 917, 835, 981, 378
• GCD of 926, 390, 654, 849

Given numbers are 513, 723, 975, 923
The greatest common divisor of numbers 513, 723, 975, 923 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 723, 975, 923 is 1.

1. What is the GCD of 513, 723, 975, 923?

GCD of given numbers 513, 723, 975, 923 is 1

2. How to calculate the greatest common divisor of 513, 723, 975, 923?

We can find the highest common divisor of 513, 723, 975, 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 513, 723, 975, 923 i.e 1.

3. How can I use the GCD of 513, 723, 975, 923Calculator?

Out the numbers 513, 723, 975, 923 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.