GCD of 71, 132, 178, 780 Calculator

Given Input numbers are 71, 132, 178, 780

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 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 71, 132, 178, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 132, 178, 780 is 1.

Therefore, GCD of numbers 71, 132, 178, 780 is 1

Given Input Data is 71, 132, 178, 780

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

Prime Factorization of 71 is 71

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 178 is 2 x 89

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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, 132) = 9372

GCD(71, 132) = ( 71 x 132 ) / 9372

GCD(71, 132) = 9372 / 9372

GCD(71, 132) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 178

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

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

GCD(1, 178) = 178 / 178

GCD(1, 178) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 71, 132, 178, 780 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 657, 604, 577
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• GCD of 48, 584, 889, 867

1. What is the GCD of 71, 132, 178, 780?

GCD of 71, 132, 178, 780 is 1

2. Where do I get the detailed procedure to find GCD of 71, 132, 178, 780?

You can find a detailed procedure to find GCD of 71, 132, 178, 780 on our page.

3. How to find GCD of 71, 132, 178, 780 on a calculator?

You can find the GCD of 71, 132, 178, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.