GCD of 141, 666, 658, 689 Calculator

Given Input numbers are 141, 666, 658, 689

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 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 141, 666, 658, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 141, 666, 658, 689 is 1.

Therefore, GCD of numbers 141, 666, 658, 689 is 1

Given Input Data is 141, 666, 658, 689

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

Prime Factorization of 141 is 3 x 47

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 689 is 13 x 53

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, 666) = 31302

GCD(141, 666) = ( 141 x 666 ) / 31302

GCD(141, 666) = 93906 / 31302

GCD(141, 666) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 658

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

LCM(3, 658) = 1974

GCD(3, 658) = ( 3 x 658 ) / 1974

GCD(3, 658) = 1974 / 1974

GCD(3, 658) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 141, 666, 658, 689 is 1

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1. What is the GCD of 141, 666, 658, 689?

GCD of 141, 666, 658, 689 is 1

2. Where do I get the detailed procedure to find GCD of 141, 666, 658, 689?

You can find a detailed procedure to find GCD of 141, 666, 658, 689 on our page.

3. How to find GCD of 141, 666, 658, 689 on a calculator?

You can find the GCD of 141, 666, 658, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.