GCD of 914, 502, 959, 512 Calculator

Given Input numbers are 914, 502, 959, 512

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 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 914, 502, 959, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 502, 959, 512 is 1.

Therefore, GCD of numbers 914, 502, 959, 512 is 1

Given Input Data is 914, 502, 959, 512

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 502 is 2 x 251

Prime Factorization of 959 is 7 x 137

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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, 502) = 229414

GCD(914, 502) = ( 914 x 502 ) / 229414

GCD(914, 502) = 458828 / 229414

GCD(914, 502) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 959

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

LCM(2, 959) = 1918

GCD(2, 959) = ( 2 x 959 ) / 1918

GCD(2, 959) = 1918 / 1918

GCD(2, 959) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 914, 502, 959, 512 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 250, 649, 694
• GCD of 256, 725, 346, 533
• GCD of 862, 834, 359, 568
• GCD of 138, 621, 741, 507
• GCD of 965, 260, 257, 984

1. What is the GCD of 914, 502, 959, 512?

GCD of 914, 502, 959, 512 is 1

2. Where do I get the detailed procedure to find GCD of 914, 502, 959, 512?

You can find a detailed procedure to find GCD of 914, 502, 959, 512 on our page.

3. How to find GCD of 914, 502, 959, 512 on a calculator?

You can find the GCD of 914, 502, 959, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.