GCD of 74, 185, 632, 270 Calculator

Given Input numbers are 74, 185, 632, 270

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

Divisors of 74

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

1, 2, 37, 74

Divisors of 185

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

1, 5, 37, 185

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 74, 185, 632, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 185, 632, 270 is 1.

Therefore, GCD of numbers 74, 185, 632, 270 is 1

Given Input Data is 74, 185, 632, 270

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 185 is 5 x 37

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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(74, 185) = 370

GCD(74, 185) = ( 74 x 185 ) / 370

GCD(74, 185) = 13690 / 370

GCD(74, 185) = 37

Step2:

Here we consider the GCD from the above i.e. 37 as first number and the next as 632

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

LCM(37, 632) = 23384

GCD(37, 632) = ( 37 x 632 ) / 23384

GCD(37, 632) = 23384 / 23384

GCD(37, 632) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

GCD of 74, 185, 632, 270 is 1

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1. What is the GCD of 74, 185, 632, 270?

GCD of 74, 185, 632, 270 is 1

2. Where do I get the detailed procedure to find GCD of 74, 185, 632, 270?

You can find a detailed procedure to find GCD of 74, 185, 632, 270 on our page.

3. How to find GCD of 74, 185, 632, 270 on a calculator?

You can find the GCD of 74, 185, 632, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.