GCD of 924, 848, 274, 697 Calculator

Given Input numbers are 924, 848, 274, 697

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

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 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 924, 848, 274, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 848, 274, 697 is 1.

Therefore, GCD of numbers 924, 848, 274, 697 is 1

Given Input Data is 924, 848, 274, 697

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

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

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 274 is 2 x 137

Prime Factorization of 697 is 17 x 41

The above numbers do not have any common prime factor. So GCD is 1

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(924, 848) = 195888

GCD(924, 848) = ( 924 x 848 ) / 195888

GCD(924, 848) = 783552 / 195888

GCD(924, 848) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 274

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

LCM(4, 274) = 548

GCD(4, 274) = ( 4 x 274 ) / 548

GCD(4, 274) = 1096 / 548

GCD(4, 274) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 697

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

LCM(2, 697) = 1394

GCD(2, 697) = ( 2 x 697 ) / 1394

GCD(2, 697) = 1394 / 1394

GCD(2, 697) = 1

GCD of 924, 848, 274, 697 is 1

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1. What is the GCD of 924, 848, 274, 697?

GCD of 924, 848, 274, 697 is 1

2. Where do I get the detailed procedure to find GCD of 924, 848, 274, 697?

You can find a detailed procedure to find GCD of 924, 848, 274, 697 on our page.

3. How to find GCD of 924, 848, 274, 697 on a calculator?

You can find the GCD of 924, 848, 274, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.