GCD of 142, 825, 83, 541 Calculator

Given Input numbers are 142, 825, 83, 541

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

Divisors of 142

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

1, 2, 71, 142

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Greatest Common Divisior

We found the divisors of 142, 825, 83, 541 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 825, 83, 541 is 1.

Therefore, GCD of numbers 142, 825, 83, 541 is 1

Given Input Data is 142, 825, 83, 541

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 83 is 83

Prime Factorization of 541 is 541

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(142, 825) = 117150

GCD(142, 825) = ( 142 x 825 ) / 117150

GCD(142, 825) = 117150 / 117150

GCD(142, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 541

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

LCM(1, 541) = 541

GCD(1, 541) = ( 1 x 541 ) / 541

GCD(1, 541) = 541 / 541

GCD(1, 541) = 1

GCD of 142, 825, 83, 541 is 1

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• GCD of 241, 729, 74, 379
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1. What is the GCD of 142, 825, 83, 541?

GCD of 142, 825, 83, 541 is 1

2. Where do I get the detailed procedure to find GCD of 142, 825, 83, 541?

You can find a detailed procedure to find GCD of 142, 825, 83, 541 on our page.

3. How to find GCD of 142, 825, 83, 541 on a calculator?

You can find the GCD of 142, 825, 83, 541 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.