GCD of 864, 974, 628, 426 Calculator

Given Input numbers are 864, 974, 628, 426

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

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 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

GCD of numbers is the greatest common divisor

So, the GCD (864, 974, 628, 426) = 2.

Given numbers are 864, 974, 628, 426

The list of prime factors of all numbers are

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

Prime factors of 974 are 2 x 487

Prime factors of 628 are 2 x 2 x 157

Prime factors of 426 are 2 x 3 x 71

The highest common occurrence is 2¹

Therefore, GCD of 864, 974, 628, 426 is 2.

Given numbers are 864, 974, 628, 426

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

Apply this formula for all numbers.

Step1:

LCM(864, 974) = 420768

GCD(864, 974) = ( 864 x 974 ) / 420768

= 864 / 974

= 864

Step2:

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

= 2 / 628

= 2

Step3:

LCM(2, 426) = 426

GCD(2, 426) = ( 2 x 426 ) / 426

= 2 / 426

= 2

So, Greatest Common Divisor of 864, 974, 628, 426 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 725, 558, 535, 542
• GCD of 476, 330, 213, 107
• GCD of 487, 938, 428, 240
• GCD of 704, 582, 644, 352
• GCD of 978, 389, 714, 493

Given numbers are 864, 974, 628, 426
The greatest common divisor of numbers 864, 974, 628, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 974, 628, 426 is 2.

1. What is the GCD of 864, 974, 628, 426?

GCD of given numbers 864, 974, 628, 426 is 2

2. How to calculate the greatest common divisor of 864, 974, 628, 426?

We can find the highest common divisor of 864, 974, 628, 426 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 864, 974, 628, 426 i.e 2.

3. How can I use the GCD of 864, 974, 628, 426Calculator?

Out the numbers 864, 974, 628, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.