GCD of 967, 716, 902, 509 Calculator

Given Input numbers are 967, 716, 902, 509

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

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 967, 716, 902, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 716, 902, 509 is 1.

Therefore, GCD of numbers 967, 716, 902, 509 is 1

Given Input Data is 967, 716, 902, 509

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

Prime Factorization of 967 is 967

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 509 is 509

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(967, 716) = 692372

GCD(967, 716) = ( 967 x 716 ) / 692372

GCD(967, 716) = 692372 / 692372

GCD(967, 716) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 967, 716, 902, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 272, 125, 993
• GCD of 923, 813, 121, 781
• GCD of 193, 608, 970, 600
• GCD of 914, 710, 167, 789
• GCD of 175, 702, 374, 568

1. What is the GCD of 967, 716, 902, 509?

GCD of 967, 716, 902, 509 is 1

2. Where do I get the detailed procedure to find GCD of 967, 716, 902, 509?

You can find a detailed procedure to find GCD of 967, 716, 902, 509 on our page.

3. How to find GCD of 967, 716, 902, 509 on a calculator?

You can find the GCD of 967, 716, 902, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.