GCD of 71, 586, 528, 119 Calculator

Given Input numbers are 71, 586, 528, 119

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 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 71, 586, 528, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 586, 528, 119 is 1.

Therefore, GCD of numbers 71, 586, 528, 119 is 1

Given Input Data is 71, 586, 528, 119

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

Prime Factorization of 71 is 71

Prime Factorization of 586 is 2 x 293

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 119 is 7 x 17

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, 586) = 41606

GCD(71, 586) = ( 71 x 586 ) / 41606

GCD(71, 586) = 41606 / 41606

GCD(71, 586) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

GCD of 71, 586, 528, 119 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 182, 116, 119
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• GCD of 72, 958, 966, 771
• GCD of 72, 887, 346, 105

1. What is the GCD of 71, 586, 528, 119?

GCD of 71, 586, 528, 119 is 1

2. Where do I get the detailed procedure to find GCD of 71, 586, 528, 119?

You can find a detailed procedure to find GCD of 71, 586, 528, 119 on our page.

3. How to find GCD of 71, 586, 528, 119 on a calculator?

You can find the GCD of 71, 586, 528, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.