GCD of 924, 746, 229, 889 Calculator

Given Input numbers are 924, 746, 229, 889

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 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 924, 746, 229, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 746, 229, 889 is 1.

Therefore, GCD of numbers 924, 746, 229, 889 is 1

Given Input Data is 924, 746, 229, 889

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 746 is 2 x 373

Prime Factorization of 229 is 229

Prime Factorization of 889 is 7 x 127

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, 746) = 344652

GCD(924, 746) = ( 924 x 746 ) / 344652

GCD(924, 746) = 689304 / 344652

GCD(924, 746) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 229

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

LCM(2, 229) = 458

GCD(2, 229) = ( 2 x 229 ) / 458

GCD(2, 229) = 458 / 458

GCD(2, 229) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 889

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

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

GCD(1, 889) = 889 / 889

GCD(1, 889) = 1

GCD of 924, 746, 229, 889 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 265, 400, 395
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• GCD of 861, 682, 225, 238
• GCD of 173, 906, 292, 101
• GCD of 243, 896, 378, 821

1. What is the GCD of 924, 746, 229, 889?

GCD of 924, 746, 229, 889 is 1

2. Where do I get the detailed procedure to find GCD of 924, 746, 229, 889?

You can find a detailed procedure to find GCD of 924, 746, 229, 889 on our page.

3. How to find GCD of 924, 746, 229, 889 on a calculator?

You can find the GCD of 924, 746, 229, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.