GCD of 26, 122, 940, 754 Calculator

Given Input numbers are 26, 122, 940, 754

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

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 26, 122, 940, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 122, 940, 754 is 2.

Therefore, GCD of numbers 26, 122, 940, 754 is 2

Given Input Data is 26, 122, 940, 754

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 122 is 2 x 61

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 754 is 2 x 13 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(26, 122) = 1586

GCD(26, 122) = ( 26 x 122 ) / 1586

GCD(26, 122) = 3172 / 1586

GCD(26, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 940

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

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

GCD(2, 940) = 1880 / 940

GCD(2, 940) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 754

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

LCM(2, 754) = 754

GCD(2, 754) = ( 2 x 754 ) / 754

GCD(2, 754) = 1508 / 754

GCD(2, 754) = 2

GCD of 26, 122, 940, 754 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 553, 869, 204
• GCD of 42, 742, 800, 869
• GCD of 15, 997, 743, 397
• GCD of 63, 966, 723, 758
• GCD of 38, 651, 939, 409

1. What is the GCD of 26, 122, 940, 754?

GCD of 26, 122, 940, 754 is 2

2. Where do I get the detailed procedure to find GCD of 26, 122, 940, 754?

You can find a detailed procedure to find GCD of 26, 122, 940, 754 on our page.

3. How to find GCD of 26, 122, 940, 754 on a calculator?

You can find the GCD of 26, 122, 940, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.