GCD of 108, 828, 142 Calculator

Given Input numbers are 108, 828, 142

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

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 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (108, 828, 142) = 2.

Given numbers are 108, 828, 142

The list of prime factors of all numbers are

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

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 108, 828, 142 is 2.

Given numbers are 108, 828, 142

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

Apply this formula for all numbers.

Step1:

LCM(108, 828) = 2484

GCD(108, 828) = ( 108 x 828 ) / 2484

= 108 / 828

= 108

Step2:

LCM(36, 142) = 2556

GCD(36, 142) = ( 36 x 142 ) / 2556

= 36 / 142

= 36

So, Greatest Common Divisor of 108, 828, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 956, 641
• GCD of 574, 454, 243
• GCD of 782, 406, 152
• GCD of 368, 447, 330
• GCD of 502, 931, 289

Given numbers are 108, 828, 142
The greatest common divisor of numbers 108, 828, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 828, 142 is 2.

1. What is the GCD of 108, 828, 142?

GCD of given numbers 108, 828, 142 is 2

2. How to calculate the greatest common divisor of 108, 828, 142?

We can find the highest common divisor of 108, 828, 142 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 108, 828, 142 i.e 2.

3. How can I use the GCD of 108, 828, 142Calculator?

Out the numbers 108, 828, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.