GCD of 969, 464, 929, 314 Calculator

Given Input numbers are 969, 464, 929, 314

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

Divisors of 969

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

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 929

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

1, 929

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 969, 464, 929, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 464, 929, 314 is 1.

Therefore, GCD of numbers 969, 464, 929, 314 is 1

Given Input Data is 969, 464, 929, 314

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 929 is 929

Prime Factorization of 314 is 2 x 157

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(969, 464) = 449616

GCD(969, 464) = ( 969 x 464 ) / 449616

GCD(969, 464) = 449616 / 449616

GCD(969, 464) = 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 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 969, 464, 929, 314 is 1

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1. What is the GCD of 969, 464, 929, 314?

GCD of 969, 464, 929, 314 is 1

2. Where do I get the detailed procedure to find GCD of 969, 464, 929, 314?

You can find a detailed procedure to find GCD of 969, 464, 929, 314 on our page.

3. How to find GCD of 969, 464, 929, 314 on a calculator?

You can find the GCD of 969, 464, 929, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.