GCD of 914, 952, 531, 299 Calculator

Given Input numbers are 914, 952, 531, 299

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

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 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 914, 952, 531, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 952, 531, 299 is 1.

Therefore, GCD of numbers 914, 952, 531, 299 is 1

Given Input Data is 914, 952, 531, 299

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

Prime Factorization of 914 is 2 x 457

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

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 299 is 13 x 23

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(914, 952) = 435064

GCD(914, 952) = ( 914 x 952 ) / 435064

GCD(914, 952) = 870128 / 435064

GCD(914, 952) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 531

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

LCM(2, 531) = 1062

GCD(2, 531) = ( 2 x 531 ) / 1062

GCD(2, 531) = 1062 / 1062

GCD(2, 531) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 914, 952, 531, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 733, 774, 145, 690
• GCD of 256, 791, 497, 380
• GCD of 453, 899, 204, 141
• GCD of 114, 595, 518, 748
• GCD of 534, 872, 147, 641

1. What is the GCD of 914, 952, 531, 299?

GCD of 914, 952, 531, 299 is 1

2. Where do I get the detailed procedure to find GCD of 914, 952, 531, 299?

You can find a detailed procedure to find GCD of 914, 952, 531, 299 on our page.

3. How to find GCD of 914, 952, 531, 299 on a calculator?

You can find the GCD of 914, 952, 531, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.