GCD of 740, 312, 65, 418 Calculator

Given Input numbers are 740, 312, 65, 418

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

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 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 740, 312, 65, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 312, 65, 418 is 1.

Therefore, GCD of numbers 740, 312, 65, 418 is 1

Given Input Data is 740, 312, 65, 418

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

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 65 is 5 x 13

Prime Factorization of 418 is 2 x 11 x 19

The above numbers do not have any common prime factor. So GCD is 1

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(740, 312) = 57720

GCD(740, 312) = ( 740 x 312 ) / 57720

GCD(740, 312) = 230880 / 57720

GCD(740, 312) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 65

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

LCM(4, 65) = 260

GCD(4, 65) = ( 4 x 65 ) / 260

GCD(4, 65) = 260 / 260

GCD(4, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 418

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

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

GCD(1, 418) = 418 / 418

GCD(1, 418) = 1

GCD of 740, 312, 65, 418 is 1

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• GCD of 868, 965, 14, 600
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• GCD of 217, 475, 12, 894

1. What is the GCD of 740, 312, 65, 418?

GCD of 740, 312, 65, 418 is 1

2. Where do I get the detailed procedure to find GCD of 740, 312, 65, 418?

You can find a detailed procedure to find GCD of 740, 312, 65, 418 on our page.

3. How to find GCD of 740, 312, 65, 418 on a calculator?

You can find the GCD of 740, 312, 65, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.