GCD of 689, 283, 952 Calculator

Given Input numbers are 689, 283, 952

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

Divisors of 689

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

1, 13, 53, 689

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Greatest Common Divisior

We found the divisors of 689, 283, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 283, 952 is 1.

Therefore, GCD of numbers 689, 283, 952 is 1

Given Input Data is 689, 283, 952

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 283 is 283

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

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(689, 283) = 194987

GCD(689, 283) = ( 689 x 283 ) / 194987

GCD(689, 283) = 194987 / 194987

GCD(689, 283) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

GCD of 689, 283, 952 is 1

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1. What is the GCD of 689, 283, 952?

GCD of 689, 283, 952 is 1

2. Where do I get the detailed procedure to find GCD of 689, 283, 952?

You can find a detailed procedure to find GCD of 689, 283, 952 on our page.

3. How to find GCD of 689, 283, 952 on a calculator?

You can find the GCD of 689, 283, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.