GCD of 141, 289, 434, 761 Calculator

Given Input numbers are 141, 289, 434, 761

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

Divisors of 141

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

1, 3, 47, 141

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 141, 289, 434, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 141, 289, 434, 761 is 1.

Therefore, GCD of numbers 141, 289, 434, 761 is 1

Given Input Data is 141, 289, 434, 761

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

Prime Factorization of 141 is 3 x 47

Prime Factorization of 289 is 17 x 17

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 761 is 761

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(141, 289) = 40749

GCD(141, 289) = ( 141 x 289 ) / 40749

GCD(141, 289) = 40749 / 40749

GCD(141, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 761

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

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

GCD(1, 761) = 761 / 761

GCD(1, 761) = 1

GCD of 141, 289, 434, 761 is 1

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1. What is the GCD of 141, 289, 434, 761?

GCD of 141, 289, 434, 761 is 1

2. Where do I get the detailed procedure to find GCD of 141, 289, 434, 761?

You can find a detailed procedure to find GCD of 141, 289, 434, 761 on our page.

3. How to find GCD of 141, 289, 434, 761 on a calculator?

You can find the GCD of 141, 289, 434, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.