GCD of 89, 783, 477, 142 Calculator

Given Input numbers are 89, 783, 477, 142

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 89, 783, 477, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 783, 477, 142 is 1.

Therefore, GCD of numbers 89, 783, 477, 142 is 1

Given Input Data is 89, 783, 477, 142

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

Prime Factorization of 89 is 89

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 142 is 2 x 71

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(89, 783) = 69687

GCD(89, 783) = ( 89 x 783 ) / 69687

GCD(89, 783) = 69687 / 69687

GCD(89, 783) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 477

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

LCM(1, 477) = 477

GCD(1, 477) = ( 1 x 477 ) / 477

GCD(1, 477) = 477 / 477

GCD(1, 477) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 89, 783, 477, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 358, 491, 747
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• GCD of 45, 843, 706, 466
• GCD of 14, 833, 666, 768
• GCD of 39, 969, 412, 873

1. What is the GCD of 89, 783, 477, 142?

GCD of 89, 783, 477, 142 is 1

2. Where do I get the detailed procedure to find GCD of 89, 783, 477, 142?

You can find a detailed procedure to find GCD of 89, 783, 477, 142 on our page.

3. How to find GCD of 89, 783, 477, 142 on a calculator?

You can find the GCD of 89, 783, 477, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.