GCD of 948, 909, 100, 703 Calculator

Given Input numbers are 948, 909, 100, 703

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

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 948, 909, 100, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 909, 100, 703 is 1.

Therefore, GCD of numbers 948, 909, 100, 703 is 1

Given Input Data is 948, 909, 100, 703

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

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 703 is 19 x 37

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(948, 909) = 287244

GCD(948, 909) = ( 948 x 909 ) / 287244

GCD(948, 909) = 861732 / 287244

GCD(948, 909) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 100

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

LCM(3, 100) = 300

GCD(3, 100) = ( 3 x 100 ) / 300

GCD(3, 100) = 300 / 300

GCD(3, 100) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

GCD of 948, 909, 100, 703 is 1

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1. What is the GCD of 948, 909, 100, 703?

GCD of 948, 909, 100, 703 is 1

2. Where do I get the detailed procedure to find GCD of 948, 909, 100, 703?

You can find a detailed procedure to find GCD of 948, 909, 100, 703 on our page.

3. How to find GCD of 948, 909, 100, 703 on a calculator?

You can find the GCD of 948, 909, 100, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.