GCD of 828, 692, 760, 842 Calculator

Given Input numbers are 828, 692, 760, 842

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 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 828, 692, 760, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 692, 760, 842 is 2.

Therefore, GCD of numbers 828, 692, 760, 842 is 2

Given Input Data is 828, 692, 760, 842

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 692 is 2 x 2 x 173

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 842 is 2 x 421

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, 692) = 143244

GCD(828, 692) = ( 828 x 692 ) / 143244

GCD(828, 692) = 572976 / 143244

GCD(828, 692) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 760

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

LCM(4, 760) = 760

GCD(4, 760) = ( 4 x 760 ) / 760

GCD(4, 760) = 3040 / 760

GCD(4, 760) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 842

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

LCM(4, 842) = 1684

GCD(4, 842) = ( 4 x 842 ) / 1684

GCD(4, 842) = 3368 / 1684

GCD(4, 842) = 2

GCD of 828, 692, 760, 842 is 2

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1. What is the GCD of 828, 692, 760, 842?

GCD of 828, 692, 760, 842 is 2

2. Where do I get the detailed procedure to find GCD of 828, 692, 760, 842?

You can find a detailed procedure to find GCD of 828, 692, 760, 842 on our page.

3. How to find GCD of 828, 692, 760, 842 on a calculator?

You can find the GCD of 828, 692, 760, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.