GCD of 814, 196, 60, 132 Calculator

Given Input numbers are 814, 196, 60, 132

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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 814, 196, 60, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 196, 60, 132 is 2.

Therefore, GCD of numbers 814, 196, 60, 132 is 2

Given Input Data is 814, 196, 60, 132

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 60 is 2 x 2 x 3 x 5

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(814, 196) = 79772

GCD(814, 196) = ( 814 x 196 ) / 79772

GCD(814, 196) = 159544 / 79772

GCD(814, 196) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 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 814, 196, 60, 132 is 2

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• GCD of 493, 357, 56, 673
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1. What is the GCD of 814, 196, 60, 132?

GCD of 814, 196, 60, 132 is 2

2. Where do I get the detailed procedure to find GCD of 814, 196, 60, 132?

You can find a detailed procedure to find GCD of 814, 196, 60, 132 on our page.

3. How to find GCD of 814, 196, 60, 132 on a calculator?

You can find the GCD of 814, 196, 60, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.