GCD of 132, 892, 80, 370 Calculator

Given Input numbers are 132, 892, 80, 370

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

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 132, 892, 80, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 892, 80, 370 is 2.

Therefore, GCD of numbers 132, 892, 80, 370 is 2

Given Input Data is 132, 892, 80, 370

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

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 370 is 2 x 5 x 37

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(132, 892) = 29436

GCD(132, 892) = ( 132 x 892 ) / 29436

GCD(132, 892) = 117744 / 29436

GCD(132, 892) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 80

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

LCM(4, 80) = 80

GCD(4, 80) = ( 4 x 80 ) / 80

GCD(4, 80) = 320 / 80

GCD(4, 80) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 370

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

LCM(4, 370) = 740

GCD(4, 370) = ( 4 x 370 ) / 740

GCD(4, 370) = 1480 / 740

GCD(4, 370) = 2

GCD of 132, 892, 80, 370 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 924, 67, 779
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• GCD of 143, 555, 10, 317

1. What is the GCD of 132, 892, 80, 370?

GCD of 132, 892, 80, 370 is 2

2. Where do I get the detailed procedure to find GCD of 132, 892, 80, 370?

You can find a detailed procedure to find GCD of 132, 892, 80, 370 on our page.

3. How to find GCD of 132, 892, 80, 370 on a calculator?

You can find the GCD of 132, 892, 80, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.