GCD of 826, 108, 108, 316 Calculator

Given Input numbers are 826, 108, 108, 316

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

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

GCD of numbers is the greatest common divisor

So, the GCD (826, 108, 108, 316) = 2.

Given numbers are 826, 108, 108, 316

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 316 are 2 x 2 x 79

The highest common occurrence is 2¹

Therefore, GCD of 826, 108, 108, 316 is 2.

Given numbers are 826, 108, 108, 316

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

Apply this formula for all numbers.

Step1:

LCM(826, 108) = 44604

GCD(826, 108) = ( 826 x 108 ) / 44604

= 826 / 108

= 826

Step2:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

Step3:

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

= 2 / 316

= 2

So, Greatest Common Divisor of 826, 108, 108, 316 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 807, 555, 594
• GCD of 483, 797, 234, 197
• GCD of 649, 276, 517, 729
• GCD of 642, 463, 560, 927
• GCD of 119, 709, 583, 515

Given numbers are 826, 108, 108, 316
The greatest common divisor of numbers 826, 108, 108, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 108, 108, 316 is 2.

1. What is the GCD of 826, 108, 108, 316?

GCD of given numbers 826, 108, 108, 316 is 2

2. How to calculate the greatest common divisor of 826, 108, 108, 316?

We can find the highest common divisor of 826, 108, 108, 316 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 826, 108, 108, 316 i.e 2.

3. How can I use the GCD of 826, 108, 108, 316Calculator?

Out the numbers 826, 108, 108, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.