GCD of 261, 743, 96, 122 Calculator

Given Input numbers are 261, 743, 96, 122

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 122

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

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 261, 743, 96, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 743, 96, 122 is 1.

Therefore, GCD of numbers 261, 743, 96, 122 is 1

Given Input Data is 261, 743, 96, 122

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 743 is 743

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 122 is 2 x 61

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(261, 743) = 193923

GCD(261, 743) = ( 261 x 743 ) / 193923

GCD(261, 743) = 193923 / 193923

GCD(261, 743) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

GCD of 261, 743, 96, 122 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 155, 71, 707
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• GCD of 726, 486, 69, 351
• GCD of 936, 573, 61, 556
• GCD of 338, 516, 70, 657

1. What is the GCD of 261, 743, 96, 122?

GCD of 261, 743, 96, 122 is 1

2. Where do I get the detailed procedure to find GCD of 261, 743, 96, 122?

You can find a detailed procedure to find GCD of 261, 743, 96, 122 on our page.

3. How to find GCD of 261, 743, 96, 122 on a calculator?

You can find the GCD of 261, 743, 96, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.