GCD of 374, 914, 185, 961 Calculator

Given Input numbers are 374, 914, 185, 961

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 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 374, 914, 185, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 914, 185, 961 is 1.

Therefore, GCD of numbers 374, 914, 185, 961 is 1

Given Input Data is 374, 914, 185, 961

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 914 is 2 x 457

Prime Factorization of 185 is 5 x 37

Prime Factorization of 961 is 31 x 31

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, 914) = 170918

GCD(374, 914) = ( 374 x 914 ) / 170918

GCD(374, 914) = 341836 / 170918

GCD(374, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 185

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

LCM(2, 185) = 370

GCD(2, 185) = ( 2 x 185 ) / 370

GCD(2, 185) = 370 / 370

GCD(2, 185) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 374, 914, 185, 961 is 1

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1. What is the GCD of 374, 914, 185, 961?

GCD of 374, 914, 185, 961 is 1

2. Where do I get the detailed procedure to find GCD of 374, 914, 185, 961?

You can find a detailed procedure to find GCD of 374, 914, 185, 961 on our page.

3. How to find GCD of 374, 914, 185, 961 on a calculator?

You can find the GCD of 374, 914, 185, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.