GCD of 740, 654, 71, 326 Calculator

Given Input numbers are 740, 654, 71, 326

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 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Greatest Common Divisior

We found the divisors of 740, 654, 71, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 654, 71, 326 is 1.

Therefore, GCD of numbers 740, 654, 71, 326 is 1

Given Input Data is 740, 654, 71, 326

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 654 is 2 x 3 x 109

Prime Factorization of 71 is 71

Prime Factorization of 326 is 2 x 163

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, 654) = 241980

GCD(740, 654) = ( 740 x 654 ) / 241980

GCD(740, 654) = 483960 / 241980

GCD(740, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 326

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

LCM(1, 326) = 326

GCD(1, 326) = ( 1 x 326 ) / 326

GCD(1, 326) = 326 / 326

GCD(1, 326) = 1

GCD of 740, 654, 71, 326 is 1

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1. What is the GCD of 740, 654, 71, 326?

GCD of 740, 654, 71, 326 is 1

2. Where do I get the detailed procedure to find GCD of 740, 654, 71, 326?

You can find a detailed procedure to find GCD of 740, 654, 71, 326 on our page.

3. How to find GCD of 740, 654, 71, 326 on a calculator?

You can find the GCD of 740, 654, 71, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.