GCD of 942, 795, 464, 145 Calculator

Given Input numbers are 942, 795, 464, 145

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

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

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 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 942, 795, 464, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 795, 464, 145 is 1.

Therefore, GCD of numbers 942, 795, 464, 145 is 1

Given Input Data is 942, 795, 464, 145

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

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 145 is 5 x 29

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(942, 795) = 249630

GCD(942, 795) = ( 942 x 795 ) / 249630

GCD(942, 795) = 748890 / 249630

GCD(942, 795) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 464

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

LCM(3, 464) = 1392

GCD(3, 464) = ( 3 x 464 ) / 1392

GCD(3, 464) = 1392 / 1392

GCD(3, 464) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 942, 795, 464, 145 is 1

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1. What is the GCD of 942, 795, 464, 145?

GCD of 942, 795, 464, 145 is 1

2. Where do I get the detailed procedure to find GCD of 942, 795, 464, 145?

You can find a detailed procedure to find GCD of 942, 795, 464, 145 on our page.

3. How to find GCD of 942, 795, 464, 145 on a calculator?

You can find the GCD of 942, 795, 464, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.