GCD of 828, 142, 690 Calculator

Given Input numbers are 828, 142, 690

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 828, 142, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 142, 690 is 2.

Therefore, GCD of numbers 828, 142, 690 is 2

Given Input Data is 828, 142, 690

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 142 is 2 x 71

Prime Factorization of 690 is 2 x 3 x 5 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(828, 142) = 58788

GCD(828, 142) = ( 828 x 142 ) / 58788

GCD(828, 142) = 117576 / 58788

GCD(828, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 690

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

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

GCD(2, 690) = 1380 / 690

GCD(2, 690) = 2

GCD of 828, 142, 690 is 2

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• GCD of 872, 695, 175
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1. What is the GCD of 828, 142, 690?

GCD of 828, 142, 690 is 2

2. Where do I get the detailed procedure to find GCD of 828, 142, 690?

You can find a detailed procedure to find GCD of 828, 142, 690 on our page.

3. How to find GCD of 828, 142, 690 on a calculator?

You can find the GCD of 828, 142, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.