GCD of 13, 874, 735, 967 Calculator

Given Input numbers are 13, 874, 735, 967

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 967

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

1, 967

Greatest Common Divisior

We found the divisors of 13, 874, 735, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 874, 735, 967 is 1.

Therefore, GCD of numbers 13, 874, 735, 967 is 1

Given Input Data is 13, 874, 735, 967

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

Prime Factorization of 13 is 13

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 967 is 967

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(13, 874) = 11362

GCD(13, 874) = ( 13 x 874 ) / 11362

GCD(13, 874) = 11362 / 11362

GCD(13, 874) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 13, 874, 735, 967 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 410, 383, 335
• GCD of 67, 897, 130, 294
• GCD of 60, 671, 466, 169
• GCD of 24, 690, 923, 296
• GCD of 61, 600, 614, 546

1. What is the GCD of 13, 874, 735, 967?

GCD of 13, 874, 735, 967 is 1

2. Where do I get the detailed procedure to find GCD of 13, 874, 735, 967?

You can find a detailed procedure to find GCD of 13, 874, 735, 967 on our page.

3. How to find GCD of 13, 874, 735, 967 on a calculator?

You can find the GCD of 13, 874, 735, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.