GCD of 674, 543, 223, 772 Calculator

Given Input numbers are 674, 543, 223, 772

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 223

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

1, 223

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 674, 543, 223, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 543, 223, 772 is 1.

Therefore, GCD of numbers 674, 543, 223, 772 is 1

Given Input Data is 674, 543, 223, 772

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 543 is 3 x 181

Prime Factorization of 223 is 223

Prime Factorization of 772 is 2 x 2 x 193

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(674, 543) = 365982

GCD(674, 543) = ( 674 x 543 ) / 365982

GCD(674, 543) = 365982 / 365982

GCD(674, 543) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 223

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

LCM(1, 223) = 223

GCD(1, 223) = ( 1 x 223 ) / 223

GCD(1, 223) = 223 / 223

GCD(1, 223) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 674, 543, 223, 772 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 114, 642, 832
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1. What is the GCD of 674, 543, 223, 772?

GCD of 674, 543, 223, 772 is 1

2. Where do I get the detailed procedure to find GCD of 674, 543, 223, 772?

You can find a detailed procedure to find GCD of 674, 543, 223, 772 on our page.

3. How to find GCD of 674, 543, 223, 772 on a calculator?

You can find the GCD of 674, 543, 223, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.