GCD of 71, 101, 930, 537 Calculator

Given Input numbers are 71, 101, 930, 537

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 71, 101, 930, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 101, 930, 537 is 1.

Therefore, GCD of numbers 71, 101, 930, 537 is 1

Given Input Data is 71, 101, 930, 537

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

Prime Factorization of 71 is 71

Prime Factorization of 101 is 101

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 537 is 3 x 179

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(71, 101) = 7171

GCD(71, 101) = ( 71 x 101 ) / 7171

GCD(71, 101) = 7171 / 7171

GCD(71, 101) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 930

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

LCM(1, 930) = 930

GCD(1, 930) = ( 1 x 930 ) / 930

GCD(1, 930) = 930 / 930

GCD(1, 930) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

GCD of 71, 101, 930, 537 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 111, 866, 773
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• GCD of 27, 433, 128, 260
• GCD of 53, 365, 784, 666
• GCD of 51, 478, 417, 248

1. What is the GCD of 71, 101, 930, 537?

GCD of 71, 101, 930, 537 is 1

2. Where do I get the detailed procedure to find GCD of 71, 101, 930, 537?

You can find a detailed procedure to find GCD of 71, 101, 930, 537 on our page.

3. How to find GCD of 71, 101, 930, 537 on a calculator?

You can find the GCD of 71, 101, 930, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.