GCD of 390, 625, 360, 744 Calculator

Given Input numbers are 390, 625, 360, 744

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 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

GCD of numbers is the greatest common divisor

So, the GCD (390, 625, 360, 744) = 1.

Given numbers are 390, 625, 360, 744

The list of prime factors of all numbers are

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

Prime factors of 625 are 5 x 5 x 5 x 5

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

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

Given numbers are 390, 625, 360, 744

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

Apply this formula for all numbers.

Step1:

LCM(390, 625) = 48750

GCD(390, 625) = ( 390 x 625 ) / 48750

= 390 / 625

= 390

Step2:

LCM(5, 360) = 360

GCD(5, 360) = ( 5 x 360 ) / 360

= 5 / 360

= 5

Step3:

LCM(5, 744) = 3720

GCD(5, 744) = ( 5 x 744 ) / 3720

= 5 / 744

= 5

So, Greatest Common Divisor of 390, 625, 360, 744 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 131, 852, 632, 966
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• GCD of 601, 974, 876, 793

Given numbers are 390, 625, 360, 744
The greatest common divisor of numbers 390, 625, 360, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 625, 360, 744 is 1.

1. What is the GCD of 390, 625, 360, 744?

GCD of given numbers 390, 625, 360, 744 is 1

2. How to calculate the greatest common divisor of 390, 625, 360, 744?

We can find the highest common divisor of 390, 625, 360, 744 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, 625, 360, 744 i.e 1.

3. How can I use the GCD of 390, 625, 360, 744Calculator?

Out the numbers 390, 625, 360, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.