GCD of 42, 660, 232, 740 Calculator

Given Input numbers are 42, 660, 232, 740

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

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

Greatest Common Divisior

We found the divisors of 42, 660, 232, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 660, 232, 740 is 2.

Therefore, GCD of numbers 42, 660, 232, 740 is 2

Given Input Data is 42, 660, 232, 740

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

Prime Factorization of 42 is 2 x 3 x 7

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 740 is 2 x 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(42, 660) = 4620

GCD(42, 660) = ( 42 x 660 ) / 4620

GCD(42, 660) = 27720 / 4620

GCD(42, 660) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 232

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

LCM(6, 232) = 696

GCD(6, 232) = ( 6 x 232 ) / 696

GCD(6, 232) = 1392 / 696

GCD(6, 232) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 740

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

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

GCD(2, 740) = 1480 / 740

GCD(2, 740) = 2

GCD of 42, 660, 232, 740 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 390, 857, 734
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• GCD of 73, 406, 707, 469

1. What is the GCD of 42, 660, 232, 740?

GCD of 42, 660, 232, 740 is 2

2. Where do I get the detailed procedure to find GCD of 42, 660, 232, 740?

You can find a detailed procedure to find GCD of 42, 660, 232, 740 on our page.

3. How to find GCD of 42, 660, 232, 740 on a calculator?

You can find the GCD of 42, 660, 232, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.