GCD of 59, 674, 841, 745 Calculator

Given Input numbers are 59, 674, 841, 745

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 674

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

1, 2, 337, 674

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

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 59, 674, 841, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 674, 841, 745 is 1.

Therefore, GCD of numbers 59, 674, 841, 745 is 1

Given Input Data is 59, 674, 841, 745

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

Prime Factorization of 59 is 59

Prime Factorization of 674 is 2 x 337

Prime Factorization of 841 is 29 x 29

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(59, 674) = 39766

GCD(59, 674) = ( 59 x 674 ) / 39766

GCD(59, 674) = 39766 / 39766

GCD(59, 674) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 841

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

LCM(1, 841) = 841

GCD(1, 841) = ( 1 x 841 ) / 841

GCD(1, 841) = 841 / 841

GCD(1, 841) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 59, 674, 841, 745 is 1

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1. What is the GCD of 59, 674, 841, 745?

GCD of 59, 674, 841, 745 is 1

2. Where do I get the detailed procedure to find GCD of 59, 674, 841, 745?

You can find a detailed procedure to find GCD of 59, 674, 841, 745 on our page.

3. How to find GCD of 59, 674, 841, 745 on a calculator?

You can find the GCD of 59, 674, 841, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.