GCD of 693, 894, 109, 148 Calculator

Given Input numbers are 693, 894, 109, 148

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 693, 894, 109, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 894, 109, 148 is 1.

Therefore, GCD of numbers 693, 894, 109, 148 is 1

Given Input Data is 693, 894, 109, 148

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 109 is 109

Prime Factorization of 148 is 2 x 2 x 37

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(693, 894) = 206514

GCD(693, 894) = ( 693 x 894 ) / 206514

GCD(693, 894) = 619542 / 206514

GCD(693, 894) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 109

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

LCM(3, 109) = 327

GCD(3, 109) = ( 3 x 109 ) / 327

GCD(3, 109) = 327 / 327

GCD(3, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 693, 894, 109, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 807, 266, 104
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1. What is the GCD of 693, 894, 109, 148?

GCD of 693, 894, 109, 148 is 1

2. Where do I get the detailed procedure to find GCD of 693, 894, 109, 148?

You can find a detailed procedure to find GCD of 693, 894, 109, 148 on our page.

3. How to find GCD of 693, 894, 109, 148 on a calculator?

You can find the GCD of 693, 894, 109, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.