GCD of 223, 144, 946, 177 Calculator

Given Input numbers are 223, 144, 946, 177

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

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

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 223, 144, 946, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 223, 144, 946, 177 is 1.

Therefore, GCD of numbers 223, 144, 946, 177 is 1

Given Input Data is 223, 144, 946, 177

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

Prime Factorization of 223 is 223

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 946 is 2 x 11 x 43

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(223, 144) = 32112

GCD(223, 144) = ( 223 x 144 ) / 32112

GCD(223, 144) = 32112 / 32112

GCD(223, 144) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 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 223, 144, 946, 177 is 1

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1. What is the GCD of 223, 144, 946, 177?

GCD of 223, 144, 946, 177 is 1

2. Where do I get the detailed procedure to find GCD of 223, 144, 946, 177?

You can find a detailed procedure to find GCD of 223, 144, 946, 177 on our page.

3. How to find GCD of 223, 144, 946, 177 on a calculator?

You can find the GCD of 223, 144, 946, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.