GCD of 826, 500, 716, 108 Calculator

Given Input numbers are 826, 500, 716, 108

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 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

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

GCD of numbers is the greatest common divisor

So, the GCD (826, 500, 716, 108) = 2.

Given numbers are 826, 500, 716, 108

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 716 are 2 x 2 x 179

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

The highest common occurrence is 2¹

Therefore, GCD of 826, 500, 716, 108 is 2.

Given numbers are 826, 500, 716, 108

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

Apply this formula for all numbers.

Step1:

LCM(826, 500) = 206500

GCD(826, 500) = ( 826 x 500 ) / 206500

= 826 / 500

= 826

Step2:

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

= 2 / 716

= 2

Step3:

LCM(2, 108) = 108

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

= 2 / 108

= 2

So, Greatest Common Divisor of 826, 500, 716, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 841, 803, 295
• GCD of 666, 252, 351, 919
• GCD of 894, 572, 143, 139
• GCD of 450, 351, 798, 990
• GCD of 706, 284, 859, 984

Given numbers are 826, 500, 716, 108
The greatest common divisor of numbers 826, 500, 716, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 500, 716, 108 is 2.

1. What is the GCD of 826, 500, 716, 108?

GCD of given numbers 826, 500, 716, 108 is 2

2. How to calculate the greatest common divisor of 826, 500, 716, 108?

We can find the highest common divisor of 826, 500, 716, 108 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, 500, 716, 108 i.e 2.

3. How can I use the GCD of 826, 500, 716, 108Calculator?

Out the numbers 826, 500, 716, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.