GCD of 740, 149, 709, 442 Calculator

Given Input numbers are 740, 149, 709, 442

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 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 740, 149, 709, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 149, 709, 442 is 1.

Therefore, GCD of numbers 740, 149, 709, 442 is 1

Given Input Data is 740, 149, 709, 442

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 149 is 149

Prime Factorization of 709 is 709

Prime Factorization of 442 is 2 x 13 x 17

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, 149) = 110260

GCD(740, 149) = ( 740 x 149 ) / 110260

GCD(740, 149) = 110260 / 110260

GCD(740, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 740, 149, 709, 442 is 1

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1. What is the GCD of 740, 149, 709, 442?

GCD of 740, 149, 709, 442 is 1

2. Where do I get the detailed procedure to find GCD of 740, 149, 709, 442?

You can find a detailed procedure to find GCD of 740, 149, 709, 442 on our page.

3. How to find GCD of 740, 149, 709, 442 on a calculator?

You can find the GCD of 740, 149, 709, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.