GCD of 736, 740, 32, 660 Calculator

Given Input numbers are 736, 740, 32, 660

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 32

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

1, 2, 4, 8, 16, 32

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

Greatest Common Divisior

We found the divisors of 736, 740, 32, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 740, 32, 660 is 4.

Therefore, GCD of numbers 736, 740, 32, 660 is 4

Given Input Data is 736, 740, 32, 660

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 740 is 2 x 2 x 5 x 37

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

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(736, 740) = 136160

GCD(736, 740) = ( 736 x 740 ) / 136160

GCD(736, 740) = 544640 / 136160

GCD(736, 740) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 32

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

LCM(4, 32) = 32

GCD(4, 32) = ( 4 x 32 ) / 32

GCD(4, 32) = 128 / 32

GCD(4, 32) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 660

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

LCM(4, 660) = 660

GCD(4, 660) = ( 4 x 660 ) / 660

GCD(4, 660) = 2640 / 660

GCD(4, 660) = 4

GCD of 736, 740, 32, 660 is 4

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1. What is the GCD of 736, 740, 32, 660?

GCD of 736, 740, 32, 660 is 4

2. Where do I get the detailed procedure to find GCD of 736, 740, 32, 660?

You can find a detailed procedure to find GCD of 736, 740, 32, 660 on our page.

3. How to find GCD of 736, 740, 32, 660 on a calculator?

You can find the GCD of 736, 740, 32, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.