GCD of 148, 487, 950, 822 Calculator

Given Input numbers are 148, 487, 950, 822

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 148, 487, 950, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 487, 950, 822 is 1.

Therefore, GCD of numbers 148, 487, 950, 822 is 1

Given Input Data is 148, 487, 950, 822

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 487 is 487

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 822 is 2 x 3 x 137

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(148, 487) = 72076

GCD(148, 487) = ( 148 x 487 ) / 72076

GCD(148, 487) = 72076 / 72076

GCD(148, 487) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 950

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

LCM(1, 950) = 950

GCD(1, 950) = ( 1 x 950 ) / 950

GCD(1, 950) = 950 / 950

GCD(1, 950) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 148, 487, 950, 822 is 1

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1. What is the GCD of 148, 487, 950, 822?

GCD of 148, 487, 950, 822 is 1

2. Where do I get the detailed procedure to find GCD of 148, 487, 950, 822?

You can find a detailed procedure to find GCD of 148, 487, 950, 822 on our page.

3. How to find GCD of 148, 487, 950, 822 on a calculator?

You can find the GCD of 148, 487, 950, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.