GCD of 419, 225, 840, 142 Calculator

Given Input numbers are 419, 225, 840, 142

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

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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 419, 225, 840, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 419, 225, 840, 142 is 1.

Therefore, GCD of numbers 419, 225, 840, 142 is 1

Given Input Data is 419, 225, 840, 142

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

Prime Factorization of 419 is 419

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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(419, 225) = 94275

GCD(419, 225) = ( 419 x 225 ) / 94275

GCD(419, 225) = 94275 / 94275

GCD(419, 225) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 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 419, 225, 840, 142 is 1

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• GCD of 194, 653, 673, 979
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• GCD of 760, 951, 938, 639

1. What is the GCD of 419, 225, 840, 142?

GCD of 419, 225, 840, 142 is 1

2. Where do I get the detailed procedure to find GCD of 419, 225, 840, 142?

You can find a detailed procedure to find GCD of 419, 225, 840, 142 on our page.

3. How to find GCD of 419, 225, 840, 142 on a calculator?

You can find the GCD of 419, 225, 840, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.