GCD of 707, 407, 940, 310 Calculator

Given Input numbers are 707, 407, 940, 310

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

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 707, 407, 940, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 407, 940, 310 is 1.

Therefore, GCD of numbers 707, 407, 940, 310 is 1

Given Input Data is 707, 407, 940, 310

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 407 is 11 x 37

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

Prime Factorization of 310 is 2 x 5 x 31

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(707, 407) = 287749

GCD(707, 407) = ( 707 x 407 ) / 287749

GCD(707, 407) = 287749 / 287749

GCD(707, 407) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 707, 407, 940, 310 is 1

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1. What is the GCD of 707, 407, 940, 310?

GCD of 707, 407, 940, 310 is 1

2. Where do I get the detailed procedure to find GCD of 707, 407, 940, 310?

You can find a detailed procedure to find GCD of 707, 407, 940, 310 on our page.

3. How to find GCD of 707, 407, 940, 310 on a calculator?

You can find the GCD of 707, 407, 940, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.