GCD of 390, 146, 23, 749 Calculator

Given Input numbers are 390, 146, 23, 749

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 23 :

The positive integer divisors of 23 that completely divides 23 are.

1, 23

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (390, 146, 23, 749) = 1.

Given numbers are 390, 146, 23, 749

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 146 are 2 x 73

Prime factors of 23 are 23

Prime factors of 749 are 7 x 107

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

Given numbers are 390, 146, 23, 749

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

Apply this formula for all numbers.

Step1:

LCM(390, 146) = 28470

GCD(390, 146) = ( 390 x 146 ) / 28470

= 390 / 146

= 390

Step2:

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

= 2 / 23

= 2

Step3:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

So, Greatest Common Divisor of 390, 146, 23, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 701, 32, 268
• GCD of 415, 831, 90, 354
• GCD of 503, 456, 91, 820
• GCD of 443, 619, 90, 150
• GCD of 500, 207, 76, 164

Given numbers are 390, 146, 23, 749
The greatest common divisor of numbers 390, 146, 23, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 146, 23, 749 is 1.

1. What is the GCD of 390, 146, 23, 749?

GCD of given numbers 390, 146, 23, 749 is 1

2. How to calculate the greatest common divisor of 390, 146, 23, 749?

We can find the highest common divisor of 390, 146, 23, 749 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 390, 146, 23, 749 i.e 1.

3. How can I use the GCD of 390, 146, 23, 749Calculator?

Out the numbers 390, 146, 23, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.