GCD of 662, 300, 944, 707 Calculator

Given Input numbers are 662, 300, 944, 707

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

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 707

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

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 662, 300, 944, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 662, 300, 944, 707 is 1.

Therefore, GCD of numbers 662, 300, 944, 707 is 1

Given Input Data is 662, 300, 944, 707

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

Prime Factorization of 662 is 2 x 331

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 707 is 7 x 101

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(662, 300) = 99300

GCD(662, 300) = ( 662 x 300 ) / 99300

GCD(662, 300) = 198600 / 99300

GCD(662, 300) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 944

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

LCM(2, 944) = 944

GCD(2, 944) = ( 2 x 944 ) / 944

GCD(2, 944) = 1888 / 944

GCD(2, 944) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 707

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

LCM(2, 707) = 1414

GCD(2, 707) = ( 2 x 707 ) / 1414

GCD(2, 707) = 1414 / 1414

GCD(2, 707) = 1

GCD of 662, 300, 944, 707 is 1

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1. What is the GCD of 662, 300, 944, 707?

GCD of 662, 300, 944, 707 is 1

2. Where do I get the detailed procedure to find GCD of 662, 300, 944, 707?

You can find a detailed procedure to find GCD of 662, 300, 944, 707 on our page.

3. How to find GCD of 662, 300, 944, 707 on a calculator?

You can find the GCD of 662, 300, 944, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.