GCD of 958, 120, 470, 689 Calculator

Given Input numbers are 958, 120, 470, 689

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

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

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 958, 120, 470, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 120, 470, 689 is 1.

Therefore, GCD of numbers 958, 120, 470, 689 is 1

Given Input Data is 958, 120, 470, 689

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

Prime Factorization of 958 is 2 x 479

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 470 is 2 x 5 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(958, 120) = 57480

GCD(958, 120) = ( 958 x 120 ) / 57480

GCD(958, 120) = 114960 / 57480

GCD(958, 120) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 470

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

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

GCD(2, 470) = 940 / 470

GCD(2, 470) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 689

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

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

GCD(2, 689) = 1378 / 1378

GCD(2, 689) = 1

GCD of 958, 120, 470, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 361, 407, 692
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1. What is the GCD of 958, 120, 470, 689?

GCD of 958, 120, 470, 689 is 1

2. Where do I get the detailed procedure to find GCD of 958, 120, 470, 689?

You can find a detailed procedure to find GCD of 958, 120, 470, 689 on our page.

3. How to find GCD of 958, 120, 470, 689 on a calculator?

You can find the GCD of 958, 120, 470, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.