GCD of 374, 274, 52, 145 Calculator

Given Input numbers are 374, 274, 52, 145

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 145

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

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 374, 274, 52, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 274, 52, 145 is 1.

Therefore, GCD of numbers 374, 274, 52, 145 is 1

Given Input Data is 374, 274, 52, 145

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 274 is 2 x 137

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 145 is 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(374, 274) = 51238

GCD(374, 274) = ( 374 x 274 ) / 51238

GCD(374, 274) = 102476 / 51238

GCD(374, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

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

GCD of 374, 274, 52, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 862, 647, 44, 346
• GCD of 550, 196, 48, 158
• GCD of 273, 106, 46, 597
• GCD of 188, 547, 32, 657
• GCD of 641, 545, 63, 854

1. What is the GCD of 374, 274, 52, 145?

GCD of 374, 274, 52, 145 is 1

2. Where do I get the detailed procedure to find GCD of 374, 274, 52, 145?

You can find a detailed procedure to find GCD of 374, 274, 52, 145 on our page.

3. How to find GCD of 374, 274, 52, 145 on a calculator?

You can find the GCD of 374, 274, 52, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.