GCD of 929, 303, 87, 114 Calculator

Given Input numbers are 929, 303, 87, 114

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

Divisors of 929

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

1, 929

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 929, 303, 87, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 929, 303, 87, 114 is 1.

Therefore, GCD of numbers 929, 303, 87, 114 is 1

Given Input Data is 929, 303, 87, 114

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

Prime Factorization of 929 is 929

Prime Factorization of 303 is 3 x 101

Prime Factorization of 87 is 3 x 29

Prime Factorization of 114 is 2 x 3 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(929, 303) = 281487

GCD(929, 303) = ( 929 x 303 ) / 281487

GCD(929, 303) = 281487 / 281487

GCD(929, 303) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 929, 303, 87, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 159, 75, 353
• GCD of 676, 297, 87, 915
• GCD of 797, 643, 32, 660
• GCD of 725, 574, 74, 429
• GCD of 476, 296, 36, 833

1. What is the GCD of 929, 303, 87, 114?

GCD of 929, 303, 87, 114 is 1

2. Where do I get the detailed procedure to find GCD of 929, 303, 87, 114?

You can find a detailed procedure to find GCD of 929, 303, 87, 114 on our page.

3. How to find GCD of 929, 303, 87, 114 on a calculator?

You can find the GCD of 929, 303, 87, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.