GCD of 234, 122, 702, 749 Calculator

Given Input numbers are 234, 122, 702, 749

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

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 122

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

1, 2, 61, 122

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 234, 122, 702, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 122, 702, 749 is 1.

Therefore, GCD of numbers 234, 122, 702, 749 is 1

Given Input Data is 234, 122, 702, 749

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

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 122 is 2 x 61

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 749 is 7 x 107

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(234, 122) = 14274

GCD(234, 122) = ( 234 x 122 ) / 14274

GCD(234, 122) = 28548 / 14274

GCD(234, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 702

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

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

GCD(2, 702) = 1404 / 702

GCD(2, 702) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 749

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

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

GCD(2, 749) = 1498 / 1498

GCD(2, 749) = 1

GCD of 234, 122, 702, 749 is 1

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1. What is the GCD of 234, 122, 702, 749?

GCD of 234, 122, 702, 749 is 1

2. Where do I get the detailed procedure to find GCD of 234, 122, 702, 749?

You can find a detailed procedure to find GCD of 234, 122, 702, 749 on our page.

3. How to find GCD of 234, 122, 702, 749 on a calculator?

You can find the GCD of 234, 122, 702, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.