GCD of 312, 774, 250, 358 Calculator

Given Input numbers are 312, 774, 250, 358

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (312, 774, 250, 358) = 2.

Given numbers are 312, 774, 250, 358

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 250 are 2 x 5 x 5 x 5

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 312, 774, 250, 358 is 2.

Given numbers are 312, 774, 250, 358

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

Apply this formula for all numbers.

Step1:

LCM(312, 774) = 40248

GCD(312, 774) = ( 312 x 774 ) / 40248

= 312 / 774

= 312

Step2:

LCM(6, 250) = 750

GCD(6, 250) = ( 6 x 250 ) / 750

= 6 / 250

= 6

Step3:

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

= 2 / 358

= 2

So, Greatest Common Divisor of 312, 774, 250, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 415, 451, 709
• GCD of 836, 792, 285, 588
• GCD of 176, 939, 439, 592
• GCD of 750, 530, 121, 517
• GCD of 712, 703, 302, 455

Given numbers are 312, 774, 250, 358
The greatest common divisor of numbers 312, 774, 250, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 774, 250, 358 is 2.

1. What is the GCD of 312, 774, 250, 358?

GCD of given numbers 312, 774, 250, 358 is 2

2. How to calculate the greatest common divisor of 312, 774, 250, 358?

We can find the highest common divisor of 312, 774, 250, 358 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 312, 774, 250, 358 i.e 2.

3. How can I use the GCD of 312, 774, 250, 358Calculator?

Out the numbers 312, 774, 250, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.