GCD of 943, 460, 117, 177 Calculator

Given Input numbers are 943, 460, 117, 177

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

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Greatest Common Divisior

We found the divisors of 943, 460, 117, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 943, 460, 117, 177 is 1.

Therefore, GCD of numbers 943, 460, 117, 177 is 1

Given Input Data is 943, 460, 117, 177

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

Prime Factorization of 943 is 23 x 41

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 177 is 3 x 59

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(943, 460) = 18860

GCD(943, 460) = ( 943 x 460 ) / 18860

GCD(943, 460) = 433780 / 18860

GCD(943, 460) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 117

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

LCM(23, 117) = 2691

GCD(23, 117) = ( 23 x 117 ) / 2691

GCD(23, 117) = 2691 / 2691

GCD(23, 117) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 177

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

LCM(1, 177) = 177

GCD(1, 177) = ( 1 x 177 ) / 177

GCD(1, 177) = 177 / 177

GCD(1, 177) = 1

GCD of 943, 460, 117, 177 is 1

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1. What is the GCD of 943, 460, 117, 177?

GCD of 943, 460, 117, 177 is 1

2. Where do I get the detailed procedure to find GCD of 943, 460, 117, 177?

You can find a detailed procedure to find GCD of 943, 460, 117, 177 on our page.

3. How to find GCD of 943, 460, 117, 177 on a calculator?

You can find the GCD of 943, 460, 117, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.