GCD of 93, 914, 709, 398 Calculator

Given Input numbers are 93, 914, 709, 398

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

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 914

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

1, 2, 457, 914

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 93, 914, 709, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 93, 914, 709, 398 is 1.

Therefore, GCD of numbers 93, 914, 709, 398 is 1

Given Input Data is 93, 914, 709, 398

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

Prime Factorization of 93 is 3 x 31

Prime Factorization of 914 is 2 x 457

Prime Factorization of 709 is 709

Prime Factorization of 398 is 2 x 199

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(93, 914) = 85002

GCD(93, 914) = ( 93 x 914 ) / 85002

GCD(93, 914) = 85002 / 85002

GCD(93, 914) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 93, 914, 709, 398 is 1

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1. What is the GCD of 93, 914, 709, 398?

GCD of 93, 914, 709, 398 is 1

2. Where do I get the detailed procedure to find GCD of 93, 914, 709, 398?

You can find a detailed procedure to find GCD of 93, 914, 709, 398 on our page.

3. How to find GCD of 93, 914, 709, 398 on a calculator?

You can find the GCD of 93, 914, 709, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.