GCD of 152, 942, 605, 883 Calculator

Given Input numbers are 152, 942, 605, 883

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 883

List of positive integer divisors of 883 that divides 883 without a remainder.

1, 883

Greatest Common Divisior

We found the divisors of 152, 942, 605, 883 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 942, 605, 883 is 1.

Therefore, GCD of numbers 152, 942, 605, 883 is 1

Given Input Data is 152, 942, 605, 883

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 883 is 883

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(152, 942) = 71592

GCD(152, 942) = ( 152 x 942 ) / 71592

GCD(152, 942) = 143184 / 71592

GCD(152, 942) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 605

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

LCM(2, 605) = 1210

GCD(2, 605) = ( 2 x 605 ) / 1210

GCD(2, 605) = 1210 / 1210

GCD(2, 605) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 883

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

LCM(1, 883) = 883

GCD(1, 883) = ( 1 x 883 ) / 883

GCD(1, 883) = 883 / 883

GCD(1, 883) = 1

GCD of 152, 942, 605, 883 is 1

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1. What is the GCD of 152, 942, 605, 883?

GCD of 152, 942, 605, 883 is 1

2. Where do I get the detailed procedure to find GCD of 152, 942, 605, 883?

You can find a detailed procedure to find GCD of 152, 942, 605, 883 on our page.

3. How to find GCD of 152, 942, 605, 883 on a calculator?

You can find the GCD of 152, 942, 605, 883 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.