GCD of 234, 721, 948, 945 Calculator

Given Input numbers are 234, 721, 948, 945

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

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

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 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 234, 721, 948, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 721, 948, 945 is 1.

Therefore, GCD of numbers 234, 721, 948, 945 is 1

Given Input Data is 234, 721, 948, 945

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

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 721 is 7 x 103

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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(234, 721) = 168714

GCD(234, 721) = ( 234 x 721 ) / 168714

GCD(234, 721) = 168714 / 168714

GCD(234, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 234, 721, 948, 945 is 1

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1. What is the GCD of 234, 721, 948, 945?

GCD of 234, 721, 948, 945 is 1

2. Where do I get the detailed procedure to find GCD of 234, 721, 948, 945?

You can find a detailed procedure to find GCD of 234, 721, 948, 945 on our page.

3. How to find GCD of 234, 721, 948, 945 on a calculator?

You can find the GCD of 234, 721, 948, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.