GCD of 146, 756, 706, 650 Calculator

Given Input numbers are 146, 756, 706, 650

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

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

Greatest Common Divisior

We found the divisors of 146, 756, 706, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 756, 706, 650 is 2.

Therefore, GCD of numbers 146, 756, 706, 650 is 2

Given Input Data is 146, 756, 706, 650

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 706 is 2 x 353

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

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(146, 756) = 55188

GCD(146, 756) = ( 146 x 756 ) / 55188

GCD(146, 756) = 110376 / 55188

GCD(146, 756) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 706

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

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

GCD(2, 706) = 1412 / 706

GCD(2, 706) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 650

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

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

GCD(2, 650) = 1300 / 650

GCD(2, 650) = 2

GCD of 146, 756, 706, 650 is 2

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1. What is the GCD of 146, 756, 706, 650?

GCD of 146, 756, 706, 650 is 2

2. Where do I get the detailed procedure to find GCD of 146, 756, 706, 650?

You can find a detailed procedure to find GCD of 146, 756, 706, 650 on our page.

3. How to find GCD of 146, 756, 706, 650 on a calculator?

You can find the GCD of 146, 756, 706, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.