GCD of 770, 324, 418, 132 Calculator

Given Input numbers are 770, 324, 418, 132

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

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 770, 324, 418, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 324, 418, 132 is 2.

Therefore, GCD of numbers 770, 324, 418, 132 is 2

Given Input Data is 770, 324, 418, 132

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

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 132 is 2 x 2 x 3 x 11

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(770, 324) = 124740

GCD(770, 324) = ( 770 x 324 ) / 124740

GCD(770, 324) = 249480 / 124740

GCD(770, 324) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 418

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

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

GCD(2, 418) = 836 / 418

GCD(2, 418) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 132

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

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

GCD(2, 132) = 264 / 132

GCD(2, 132) = 2

GCD of 770, 324, 418, 132 is 2

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1. What is the GCD of 770, 324, 418, 132?

GCD of 770, 324, 418, 132 is 2

2. Where do I get the detailed procedure to find GCD of 770, 324, 418, 132?

You can find a detailed procedure to find GCD of 770, 324, 418, 132 on our page.

3. How to find GCD of 770, 324, 418, 132 on a calculator?

You can find the GCD of 770, 324, 418, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.