GCD of 693, 315, 94, 914 Calculator

Given Input numbers are 693, 315, 94, 914

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 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 693, 315, 94, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 315, 94, 914 is 1.

Therefore, GCD of numbers 693, 315, 94, 914 is 1

Given Input Data is 693, 315, 94, 914

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 315 is 3 x 3 x 5 x 7

Prime Factorization of 94 is 2 x 47

Prime Factorization of 914 is 2 x 457

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, 315) = 3465

GCD(693, 315) = ( 693 x 315 ) / 3465

GCD(693, 315) = 218295 / 3465

GCD(693, 315) = 63

Step2:

Here we consider the GCD from the above i.e. 63 as first number and the next as 94

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

LCM(63, 94) = 5922

GCD(63, 94) = ( 63 x 94 ) / 5922

GCD(63, 94) = 5922 / 5922

GCD(63, 94) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 693, 315, 94, 914 is 1

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1. What is the GCD of 693, 315, 94, 914?

GCD of 693, 315, 94, 914 is 1

2. Where do I get the detailed procedure to find GCD of 693, 315, 94, 914?

You can find a detailed procedure to find GCD of 693, 315, 94, 914 on our page.

3. How to find GCD of 693, 315, 94, 914 on a calculator?

You can find the GCD of 693, 315, 94, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.