GCD of 97, 532, 421, 914 Calculator

Given Input numbers are 97, 532, 421, 914

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

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

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 97, 532, 421, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 532, 421, 914 is 1.

Therefore, GCD of numbers 97, 532, 421, 914 is 1

Given Input Data is 97, 532, 421, 914

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

Prime Factorization of 97 is 97

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 421 is 421

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(97, 532) = 51604

GCD(97, 532) = ( 97 x 532 ) / 51604

GCD(97, 532) = 51604 / 51604

GCD(97, 532) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 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 97, 532, 421, 914 is 1

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• GCD of 86, 448, 608, 209
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1. What is the GCD of 97, 532, 421, 914?

GCD of 97, 532, 421, 914 is 1

2. Where do I get the detailed procedure to find GCD of 97, 532, 421, 914?

You can find a detailed procedure to find GCD of 97, 532, 421, 914 on our page.

3. How to find GCD of 97, 532, 421, 914 on a calculator?

You can find the GCD of 97, 532, 421, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.