GCD of 674, 696, 59, 901 Calculator

Given Input numbers are 674, 696, 59, 901

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 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 59

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

1, 59

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 674, 696, 59, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 696, 59, 901 is 1.

Therefore, GCD of numbers 674, 696, 59, 901 is 1

Given Input Data is 674, 696, 59, 901

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 59 is 59

Prime Factorization of 901 is 17 x 53

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, 696) = 234552

GCD(674, 696) = ( 674 x 696 ) / 234552

GCD(674, 696) = 469104 / 234552

GCD(674, 696) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 901

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

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

GCD(1, 901) = 901 / 901

GCD(1, 901) = 1

GCD of 674, 696, 59, 901 is 1

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1. What is the GCD of 674, 696, 59, 901?

GCD of 674, 696, 59, 901 is 1

2. Where do I get the detailed procedure to find GCD of 674, 696, 59, 901?

You can find a detailed procedure to find GCD of 674, 696, 59, 901 on our page.

3. How to find GCD of 674, 696, 59, 901 on a calculator?

You can find the GCD of 674, 696, 59, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.