GCD of 755, 342, 860, 123 Calculator

Given Input numbers are 755, 342, 860, 123

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

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 755, 342, 860, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 342, 860, 123 is 1.

Therefore, GCD of numbers 755, 342, 860, 123 is 1

Given Input Data is 755, 342, 860, 123

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 123 is 3 x 41

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(755, 342) = 258210

GCD(755, 342) = ( 755 x 342 ) / 258210

GCD(755, 342) = 258210 / 258210

GCD(755, 342) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 860

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

LCM(1, 860) = 860

GCD(1, 860) = ( 1 x 860 ) / 860

GCD(1, 860) = 860 / 860

GCD(1, 860) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 755, 342, 860, 123 is 1

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• GCD of 727, 305, 702, 306
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1. What is the GCD of 755, 342, 860, 123?

GCD of 755, 342, 860, 123 is 1

2. Where do I get the detailed procedure to find GCD of 755, 342, 860, 123?

You can find a detailed procedure to find GCD of 755, 342, 860, 123 on our page.

3. How to find GCD of 755, 342, 860, 123 on a calculator?

You can find the GCD of 755, 342, 860, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.