GCD of 148, 612, 650, 714 Calculator

Given Input numbers are 148, 612, 650, 714

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 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 148, 612, 650, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 612, 650, 714 is 2.

Therefore, GCD of numbers 148, 612, 650, 714 is 2

Given Input Data is 148, 612, 650, 714

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 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 714 is 2 x 3 x 7 x 17

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, 612) = 22644

GCD(148, 612) = ( 148 x 612 ) / 22644

GCD(148, 612) = 90576 / 22644

GCD(148, 612) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 650

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

LCM(4, 650) = 1300

GCD(4, 650) = ( 4 x 650 ) / 1300

GCD(4, 650) = 2600 / 1300

GCD(4, 650) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 714

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

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

GCD(2, 714) = 1428 / 714

GCD(2, 714) = 2

GCD of 148, 612, 650, 714 is 2

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1. What is the GCD of 148, 612, 650, 714?

GCD of 148, 612, 650, 714 is 2

2. Where do I get the detailed procedure to find GCD of 148, 612, 650, 714?

You can find a detailed procedure to find GCD of 148, 612, 650, 714 on our page.

3. How to find GCD of 148, 612, 650, 714 on a calculator?

You can find the GCD of 148, 612, 650, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.