GCD of 74, 894, 145, 290 Calculator

Given Input numbers are 74, 894, 145, 290

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 74, 894, 145, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 894, 145, 290 is 1.

Therefore, GCD of numbers 74, 894, 145, 290 is 1

Given Input Data is 74, 894, 145, 290

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 145 is 5 x 29

Prime Factorization of 290 is 2 x 5 x 29

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(74, 894) = 33078

GCD(74, 894) = ( 74 x 894 ) / 33078

GCD(74, 894) = 66156 / 33078

GCD(74, 894) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 145

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

LCM(2, 145) = 290

GCD(2, 145) = ( 2 x 145 ) / 290

GCD(2, 145) = 290 / 290

GCD(2, 145) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 290

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

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

GCD(1, 290) = 290 / 290

GCD(1, 290) = 1

GCD of 74, 894, 145, 290 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 581, 467, 801
• GCD of 86, 528, 175, 582
• GCD of 21, 632, 351, 971
• GCD of 34, 658, 697, 365
• GCD of 43, 208, 345, 540

1. What is the GCD of 74, 894, 145, 290?

GCD of 74, 894, 145, 290 is 1

2. Where do I get the detailed procedure to find GCD of 74, 894, 145, 290?

You can find a detailed procedure to find GCD of 74, 894, 145, 290 on our page.

3. How to find GCD of 74, 894, 145, 290 on a calculator?

You can find the GCD of 74, 894, 145, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.