GCD of 370, 264, 32, 828 Calculator

Given Input numbers are 370, 264, 32, 828

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

Divisors of 370

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

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 370, 264, 32, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 264, 32, 828 is 2.

Therefore, GCD of numbers 370, 264, 32, 828 is 2

Given Input Data is 370, 264, 32, 828

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(370, 264) = 48840

GCD(370, 264) = ( 370 x 264 ) / 48840

GCD(370, 264) = 97680 / 48840

GCD(370, 264) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 32

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

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

GCD(2, 32) = 64 / 32

GCD(2, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 828

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

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

GCD(2, 828) = 1656 / 828

GCD(2, 828) = 2

GCD of 370, 264, 32, 828 is 2

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• GCD of 607, 275, 69, 851
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1. What is the GCD of 370, 264, 32, 828?

GCD of 370, 264, 32, 828 is 2

2. Where do I get the detailed procedure to find GCD of 370, 264, 32, 828?

You can find a detailed procedure to find GCD of 370, 264, 32, 828 on our page.

3. How to find GCD of 370, 264, 32, 828 on a calculator?

You can find the GCD of 370, 264, 32, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.