GCD of 698, 974, 10, 594 Calculator

Given Input numbers are 698, 974, 10, 594

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

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Greatest Common Divisior

We found the divisors of 698, 974, 10, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 974, 10, 594 is 2.

Therefore, GCD of numbers 698, 974, 10, 594 is 2

Given Input Data is 698, 974, 10, 594

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 974 is 2 x 487

Prime Factorization of 10 is 2 x 5

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

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(698, 974) = 339926

GCD(698, 974) = ( 698 x 974 ) / 339926

GCD(698, 974) = 679852 / 339926

GCD(698, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 594

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

LCM(2, 594) = 594

GCD(2, 594) = ( 2 x 594 ) / 594

GCD(2, 594) = 1188 / 594

GCD(2, 594) = 2

GCD of 698, 974, 10, 594 is 2

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1. What is the GCD of 698, 974, 10, 594?

GCD of 698, 974, 10, 594 is 2

2. Where do I get the detailed procedure to find GCD of 698, 974, 10, 594?

You can find a detailed procedure to find GCD of 698, 974, 10, 594 on our page.

3. How to find GCD of 698, 974, 10, 594 on a calculator?

You can find the GCD of 698, 974, 10, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.