GCD of 313, 952, 929, 969 Calculator

Given Input numbers are 313, 952, 929, 969

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

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

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 313, 952, 929, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 952, 929, 969 is 1.

Therefore, GCD of numbers 313, 952, 929, 969 is 1

Given Input Data is 313, 952, 929, 969

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

Prime Factorization of 313 is 313

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

Prime Factorization of 929 is 929

Prime Factorization of 969 is 3 x 17 x 19

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(313, 952) = 297976

GCD(313, 952) = ( 313 x 952 ) / 297976

GCD(313, 952) = 297976 / 297976

GCD(313, 952) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 929

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

LCM(1, 929) = 929

GCD(1, 929) = ( 1 x 929 ) / 929

GCD(1, 929) = 929 / 929

GCD(1, 929) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 313, 952, 929, 969 is 1

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1. What is the GCD of 313, 952, 929, 969?

GCD of 313, 952, 929, 969 is 1

2. Where do I get the detailed procedure to find GCD of 313, 952, 929, 969?

You can find a detailed procedure to find GCD of 313, 952, 929, 969 on our page.

3. How to find GCD of 313, 952, 929, 969 on a calculator?

You can find the GCD of 313, 952, 929, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.