GCD of 674, 822, 46, 690 Calculator

Given Input numbers are 674, 822, 46, 690

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 674, 822, 46, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 822, 46, 690 is 2.

Therefore, GCD of numbers 674, 822, 46, 690 is 2

Given Input Data is 674, 822, 46, 690

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 46 is 2 x 23

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(674, 822) = 277014

GCD(674, 822) = ( 674 x 822 ) / 277014

GCD(674, 822) = 554028 / 277014

GCD(674, 822) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

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 674, 822, 46, 690 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 509, 41, 813
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• GCD of 220, 742, 36, 983

1. What is the GCD of 674, 822, 46, 690?

GCD of 674, 822, 46, 690 is 2

2. Where do I get the detailed procedure to find GCD of 674, 822, 46, 690?

You can find a detailed procedure to find GCD of 674, 822, 46, 690 on our page.

3. How to find GCD of 674, 822, 46, 690 on a calculator?

You can find the GCD of 674, 822, 46, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.