GCD of 421, 757, 141, 509 Calculator

Given Input numbers are 421, 757, 141, 509

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 421, 757, 141, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 757, 141, 509 is 1.

Therefore, GCD of numbers 421, 757, 141, 509 is 1

Given Input Data is 421, 757, 141, 509

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

Prime Factorization of 421 is 421

Prime Factorization of 757 is 757

Prime Factorization of 141 is 3 x 47

Prime Factorization of 509 is 509

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(421, 757) = 318697

GCD(421, 757) = ( 421 x 757 ) / 318697

GCD(421, 757) = 318697 / 318697

GCD(421, 757) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 421, 757, 141, 509 is 1

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1. What is the GCD of 421, 757, 141, 509?

GCD of 421, 757, 141, 509 is 1

2. Where do I get the detailed procedure to find GCD of 421, 757, 141, 509?

You can find a detailed procedure to find GCD of 421, 757, 141, 509 on our page.

3. How to find GCD of 421, 757, 141, 509 on a calculator?

You can find the GCD of 421, 757, 141, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.