GCD of 372, 580, 864, 714 Calculator

Given Input numbers are 372, 580, 864, 714

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

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (372, 580, 864, 714) = 2.

Given numbers are 372, 580, 864, 714

The list of prime factors of all numbers are

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 714 are 2 x 3 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 372, 580, 864, 714 is 2.

Given numbers are 372, 580, 864, 714

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

Apply this formula for all numbers.

Step1:

LCM(372, 580) = 53940

GCD(372, 580) = ( 372 x 580 ) / 53940

= 372 / 580

= 372

Step2:

LCM(4, 864) = 864

GCD(4, 864) = ( 4 x 864 ) / 864

= 4 / 864

= 4

Step3:

LCM(4, 714) = 1428

GCD(4, 714) = ( 4 x 714 ) / 1428

= 4 / 714

= 4

So, Greatest Common Divisor of 372, 580, 864, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 438, 325, 475
• GCD of 150, 354, 122, 103
• GCD of 735, 280, 500, 263
• GCD of 179, 413, 574, 737
• GCD of 613, 158, 395, 649

Given numbers are 372, 580, 864, 714
The greatest common divisor of numbers 372, 580, 864, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 580, 864, 714 is 2.

1. What is the GCD of 372, 580, 864, 714?

GCD of given numbers 372, 580, 864, 714 is 2

2. How to calculate the greatest common divisor of 372, 580, 864, 714?

We can find the highest common divisor of 372, 580, 864, 714 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 372, 580, 864, 714 i.e 2.

3. How can I use the GCD of 372, 580, 864, 714Calculator?

Out the numbers 372, 580, 864, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.