GCD of 974, 924, 326, 698 Calculator

Given Input numbers are 974, 924, 326, 698

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

Divisors of 974

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

1, 2, 487, 974

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 698

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

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 974, 924, 326, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 924, 326, 698 is 2.

Therefore, GCD of numbers 974, 924, 326, 698 is 2

Given Input Data is 974, 924, 326, 698

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 326 is 2 x 163

Prime Factorization of 698 is 2 x 349

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(974, 924) = 449988

GCD(974, 924) = ( 974 x 924 ) / 449988

GCD(974, 924) = 899976 / 449988

GCD(974, 924) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 326

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

LCM(2, 326) = 326

GCD(2, 326) = ( 2 x 326 ) / 326

GCD(2, 326) = 652 / 326

GCD(2, 326) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 698

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

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

GCD(2, 698) = 1396 / 698

GCD(2, 698) = 2

GCD of 974, 924, 326, 698 is 2

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1. What is the GCD of 974, 924, 326, 698?

GCD of 974, 924, 326, 698 is 2

2. Where do I get the detailed procedure to find GCD of 974, 924, 326, 698?

You can find a detailed procedure to find GCD of 974, 924, 326, 698 on our page.

3. How to find GCD of 974, 924, 326, 698 on a calculator?

You can find the GCD of 974, 924, 326, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.