GCD of 145, 470, 709, 940 Calculator

Given Input numbers are 145, 470, 709, 940

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 709

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

1, 709

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 145, 470, 709, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 470, 709, 940 is 1.

Therefore, GCD of numbers 145, 470, 709, 940 is 1

Given Input Data is 145, 470, 709, 940

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 709 is 709

Prime Factorization of 940 is 2 x 2 x 5 x 47

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(145, 470) = 13630

GCD(145, 470) = ( 145 x 470 ) / 13630

GCD(145, 470) = 68150 / 13630

GCD(145, 470) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 709

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

LCM(5, 709) = 3545

GCD(5, 709) = ( 5 x 709 ) / 3545

GCD(5, 709) = 3545 / 3545

GCD(5, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

GCD of 145, 470, 709, 940 is 1

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1. What is the GCD of 145, 470, 709, 940?

GCD of 145, 470, 709, 940 is 1

2. Where do I get the detailed procedure to find GCD of 145, 470, 709, 940?

You can find a detailed procedure to find GCD of 145, 470, 709, 940 on our page.

3. How to find GCD of 145, 470, 709, 940 on a calculator?

You can find the GCD of 145, 470, 709, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.