GCD of 795, 435, 123, 745 Calculator

Given Input numbers are 795, 435, 123, 745

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

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 123

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

1, 3, 41, 123

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 795, 435, 123, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 435, 123, 745 is 1.

Therefore, GCD of numbers 795, 435, 123, 745 is 1

Given Input Data is 795, 435, 123, 745

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

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 123 is 3 x 41

Prime Factorization of 745 is 5 x 149

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(795, 435) = 23055

GCD(795, 435) = ( 795 x 435 ) / 23055

GCD(795, 435) = 345825 / 23055

GCD(795, 435) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 123

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

LCM(15, 123) = 615

GCD(15, 123) = ( 15 x 123 ) / 615

GCD(15, 123) = 1845 / 615

GCD(15, 123) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 745

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

LCM(3, 745) = 2235

GCD(3, 745) = ( 3 x 745 ) / 2235

GCD(3, 745) = 2235 / 2235

GCD(3, 745) = 1

GCD of 795, 435, 123, 745 is 1

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1. What is the GCD of 795, 435, 123, 745?

GCD of 795, 435, 123, 745 is 1

2. Where do I get the detailed procedure to find GCD of 795, 435, 123, 745?

You can find a detailed procedure to find GCD of 795, 435, 123, 745 on our page.

3. How to find GCD of 795, 435, 123, 745 on a calculator?

You can find the GCD of 795, 435, 123, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.