GCD of 183, 153, 74, 340 Calculator

Given Input numbers are 183, 153, 74, 340

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

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 74

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

1, 2, 37, 74

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 183, 153, 74, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 183, 153, 74, 340 is 1.

Therefore, GCD of numbers 183, 153, 74, 340 is 1

Given Input Data is 183, 153, 74, 340

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

Prime Factorization of 183 is 3 x 61

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 74 is 2 x 37

Prime Factorization of 340 is 2 x 2 x 5 x 17

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(183, 153) = 9333

GCD(183, 153) = ( 183 x 153 ) / 9333

GCD(183, 153) = 27999 / 9333

GCD(183, 153) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 74

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

LCM(3, 74) = 222

GCD(3, 74) = ( 3 x 74 ) / 222

GCD(3, 74) = 222 / 222

GCD(3, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

GCD of 183, 153, 74, 340 is 1

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• GCD of 607, 368, 51, 472
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1. What is the GCD of 183, 153, 74, 340?

GCD of 183, 153, 74, 340 is 1

2. Where do I get the detailed procedure to find GCD of 183, 153, 74, 340?

You can find a detailed procedure to find GCD of 183, 153, 74, 340 on our page.

3. How to find GCD of 183, 153, 74, 340 on a calculator?

You can find the GCD of 183, 153, 74, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.