GCD of 154, 370, 161, 513 Calculator

Given Input numbers are 154, 370, 161, 513

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 154, 370, 161, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 370, 161, 513 is 1.

Therefore, GCD of numbers 154, 370, 161, 513 is 1

Given Input Data is 154, 370, 161, 513

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 161 is 7 x 23

Prime Factorization of 513 is 3 x 3 x 3 x 19

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(154, 370) = 28490

GCD(154, 370) = ( 154 x 370 ) / 28490

GCD(154, 370) = 56980 / 28490

GCD(154, 370) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 161

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

LCM(2, 161) = 322

GCD(2, 161) = ( 2 x 161 ) / 322

GCD(2, 161) = 322 / 322

GCD(2, 161) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 154, 370, 161, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 749, 515, 988
• GCD of 603, 273, 235, 647
• GCD of 192, 689, 674, 244
• GCD of 467, 228, 210, 221
• GCD of 996, 872, 395, 191

1. What is the GCD of 154, 370, 161, 513?

GCD of 154, 370, 161, 513 is 1

2. Where do I get the detailed procedure to find GCD of 154, 370, 161, 513?

You can find a detailed procedure to find GCD of 154, 370, 161, 513 on our page.

3. How to find GCD of 154, 370, 161, 513 on a calculator?

You can find the GCD of 154, 370, 161, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.