GCD of 692, 820, 670, 846 Calculator

Given Input numbers are 692, 820, 670, 846

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

Divisors of 692

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

1, 2, 4, 173, 346, 692

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 692, 820, 670, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 820, 670, 846 is 2.

Therefore, GCD of numbers 692, 820, 670, 846 is 2

Given Input Data is 692, 820, 670, 846

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 846 is 2 x 3 x 3 x 47

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(692, 820) = 141860

GCD(692, 820) = ( 692 x 820 ) / 141860

GCD(692, 820) = 567440 / 141860

GCD(692, 820) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 670

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

LCM(4, 670) = 1340

GCD(4, 670) = ( 4 x 670 ) / 1340

GCD(4, 670) = 2680 / 1340

GCD(4, 670) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 846

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

LCM(2, 846) = 846

GCD(2, 846) = ( 2 x 846 ) / 846

GCD(2, 846) = 1692 / 846

GCD(2, 846) = 2

GCD of 692, 820, 670, 846 is 2

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1. What is the GCD of 692, 820, 670, 846?

GCD of 692, 820, 670, 846 is 2

2. Where do I get the detailed procedure to find GCD of 692, 820, 670, 846?

You can find a detailed procedure to find GCD of 692, 820, 670, 846 on our page.

3. How to find GCD of 692, 820, 670, 846 on a calculator?

You can find the GCD of 692, 820, 670, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.