GCD of 746, 236, 660, 828 Calculator

Given Input numbers are 746, 236, 660, 828

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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 746, 236, 660, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 236, 660, 828 is 2.

Therefore, GCD of numbers 746, 236, 660, 828 is 2

Given Input Data is 746, 236, 660, 828

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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(746, 236) = 88028

GCD(746, 236) = ( 746 x 236 ) / 88028

GCD(746, 236) = 176056 / 88028

GCD(746, 236) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 660

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

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

GCD(2, 660) = 1320 / 660

GCD(2, 660) = 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 746, 236, 660, 828 is 2

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1. What is the GCD of 746, 236, 660, 828?

GCD of 746, 236, 660, 828 is 2

2. Where do I get the detailed procedure to find GCD of 746, 236, 660, 828?

You can find a detailed procedure to find GCD of 746, 236, 660, 828 on our page.

3. How to find GCD of 746, 236, 660, 828 on a calculator?

You can find the GCD of 746, 236, 660, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.