GCD of 374, 608, 45, 114 Calculator

Given Input numbers are 374, 608, 45, 114

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 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 374, 608, 45, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 608, 45, 114 is 1.

Therefore, GCD of numbers 374, 608, 45, 114 is 1

Given Input Data is 374, 608, 45, 114

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 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 114 is 2 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(374, 608) = 113696

GCD(374, 608) = ( 374 x 608 ) / 113696

GCD(374, 608) = 227392 / 113696

GCD(374, 608) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 374, 608, 45, 114 is 1

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• GCD of 322, 743, 36, 704
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1. What is the GCD of 374, 608, 45, 114?

GCD of 374, 608, 45, 114 is 1

2. Where do I get the detailed procedure to find GCD of 374, 608, 45, 114?

You can find a detailed procedure to find GCD of 374, 608, 45, 114 on our page.

3. How to find GCD of 374, 608, 45, 114 on a calculator?

You can find the GCD of 374, 608, 45, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.