GCD of 674, 904, 59, 649 Calculator

Given Input numbers are 674, 904, 59, 649

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 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 59

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

1, 59

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 674, 904, 59, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 904, 59, 649 is 1.

Therefore, GCD of numbers 674, 904, 59, 649 is 1

Given Input Data is 674, 904, 59, 649

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 59 is 59

Prime Factorization of 649 is 11 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(674, 904) = 304648

GCD(674, 904) = ( 674 x 904 ) / 304648

GCD(674, 904) = 609296 / 304648

GCD(674, 904) = 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 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 674, 904, 59, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 865, 18, 670
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• GCD of 496, 230, 50, 509
• GCD of 248, 439, 61, 930
• GCD of 438, 180, 18, 902

1. What is the GCD of 674, 904, 59, 649?

GCD of 674, 904, 59, 649 is 1

2. Where do I get the detailed procedure to find GCD of 674, 904, 59, 649?

You can find a detailed procedure to find GCD of 674, 904, 59, 649 on our page.

3. How to find GCD of 674, 904, 59, 649 on a calculator?

You can find the GCD of 674, 904, 59, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.