GCD of 148, 774, 550, 834 Calculator

Given Input numbers are 148, 774, 550, 834

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 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Greatest Common Divisior

We found the divisors of 148, 774, 550, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 774, 550, 834 is 2.

Therefore, GCD of numbers 148, 774, 550, 834 is 2

Given Input Data is 148, 774, 550, 834

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 774 is 2 x 3 x 3 x 43

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 834 is 2 x 3 x 139

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(148, 774) = 57276

GCD(148, 774) = ( 148 x 774 ) / 57276

GCD(148, 774) = 114552 / 57276

GCD(148, 774) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 550

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

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

GCD(2, 550) = 1100 / 550

GCD(2, 550) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 834

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

LCM(2, 834) = 834

GCD(2, 834) = ( 2 x 834 ) / 834

GCD(2, 834) = 1668 / 834

GCD(2, 834) = 2

GCD of 148, 774, 550, 834 is 2

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1. What is the GCD of 148, 774, 550, 834?

GCD of 148, 774, 550, 834 is 2

2. Where do I get the detailed procedure to find GCD of 148, 774, 550, 834?

You can find a detailed procedure to find GCD of 148, 774, 550, 834 on our page.

3. How to find GCD of 148, 774, 550, 834 on a calculator?

You can find the GCD of 148, 774, 550, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.