GCD of 142, 277, 109, 460 Calculator

Given Input numbers are 142, 277, 109, 460

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 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 142, 277, 109, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 277, 109, 460 is 1.

Therefore, GCD of numbers 142, 277, 109, 460 is 1

Given Input Data is 142, 277, 109, 460

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 277 is 277

Prime Factorization of 109 is 109

Prime Factorization of 460 is 2 x 2 x 5 x 23

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, 277) = 39334

GCD(142, 277) = ( 142 x 277 ) / 39334

GCD(142, 277) = 39334 / 39334

GCD(142, 277) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 142, 277, 109, 460 is 1

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1. What is the GCD of 142, 277, 109, 460?

GCD of 142, 277, 109, 460 is 1

2. Where do I get the detailed procedure to find GCD of 142, 277, 109, 460?

You can find a detailed procedure to find GCD of 142, 277, 109, 460 on our page.

3. How to find GCD of 142, 277, 109, 460 on a calculator?

You can find the GCD of 142, 277, 109, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.