GCD of 150, 794, 30, 948 Calculator

Given Input numbers are 150, 794, 30, 948

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 150, 794, 30, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 794, 30, 948 is 2.

Therefore, GCD of numbers 150, 794, 30, 948 is 2

Given Input Data is 150, 794, 30, 948

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 794 is 2 x 397

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 948 is 2 x 2 x 3 x 79

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(150, 794) = 59550

GCD(150, 794) = ( 150 x 794 ) / 59550

GCD(150, 794) = 119100 / 59550

GCD(150, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 948

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

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

GCD(2, 948) = 1896 / 948

GCD(2, 948) = 2

GCD of 150, 794, 30, 948 is 2

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1. What is the GCD of 150, 794, 30, 948?

GCD of 150, 794, 30, 948 is 2

2. Where do I get the detailed procedure to find GCD of 150, 794, 30, 948?

You can find a detailed procedure to find GCD of 150, 794, 30, 948 on our page.

3. How to find GCD of 150, 794, 30, 948 on a calculator?

You can find the GCD of 150, 794, 30, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.