GCD of 142, 802, 63, 419 Calculator

Given Input numbers are 142, 802, 63, 419

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 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 419

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

1, 419

Greatest Common Divisior

We found the divisors of 142, 802, 63, 419 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 802, 63, 419 is 1.

Therefore, GCD of numbers 142, 802, 63, 419 is 1

Given Input Data is 142, 802, 63, 419

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 802 is 2 x 401

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 419 is 419

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, 802) = 56942

GCD(142, 802) = ( 142 x 802 ) / 56942

GCD(142, 802) = 113884 / 56942

GCD(142, 802) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 63

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

LCM(2, 63) = 126

GCD(2, 63) = ( 2 x 63 ) / 126

GCD(2, 63) = 126 / 126

GCD(2, 63) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 419

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

LCM(1, 419) = 419

GCD(1, 419) = ( 1 x 419 ) / 419

GCD(1, 419) = 419 / 419

GCD(1, 419) = 1

GCD of 142, 802, 63, 419 is 1

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• GCD of 687, 745, 40, 748
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• GCD of 468, 288, 35, 120

1. What is the GCD of 142, 802, 63, 419?

GCD of 142, 802, 63, 419 is 1

2. Where do I get the detailed procedure to find GCD of 142, 802, 63, 419?

You can find a detailed procedure to find GCD of 142, 802, 63, 419 on our page.

3. How to find GCD of 142, 802, 63, 419 on a calculator?

You can find the GCD of 142, 802, 63, 419 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.