GCD of 426, 142, 827, 553 Calculator

Given Input numbers are 426, 142, 827, 553

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

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 142

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

1, 2, 71, 142

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 426, 142, 827, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 142, 827, 553 is 1.

Therefore, GCD of numbers 426, 142, 827, 553 is 1

Given Input Data is 426, 142, 827, 553

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

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 142 is 2 x 71

Prime Factorization of 827 is 827

Prime Factorization of 553 is 7 x 79

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(426, 142) = 426

GCD(426, 142) = ( 426 x 142 ) / 426

GCD(426, 142) = 60492 / 426

GCD(426, 142) = 142

Step2:

Here we consider the GCD from the above i.e. 142 as first number and the next as 827

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

LCM(142, 827) = 117434

GCD(142, 827) = ( 142 x 827 ) / 117434

GCD(142, 827) = 117434 / 117434

GCD(142, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 426, 142, 827, 553 is 1

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1. What is the GCD of 426, 142, 827, 553?

GCD of 426, 142, 827, 553 is 1

2. Where do I get the detailed procedure to find GCD of 426, 142, 827, 553?

You can find a detailed procedure to find GCD of 426, 142, 827, 553 on our page.

3. How to find GCD of 426, 142, 827, 553 on a calculator?

You can find the GCD of 426, 142, 827, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.