GCD of 945, 295, 83, 428 Calculator

Given Input numbers are 945, 295, 83, 428

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

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 945, 295, 83, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 295, 83, 428 is 1.

Therefore, GCD of numbers 945, 295, 83, 428 is 1

Given Input Data is 945, 295, 83, 428

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

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 83 is 83

Prime Factorization of 428 is 2 x 2 x 107

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(945, 295) = 55755

GCD(945, 295) = ( 945 x 295 ) / 55755

GCD(945, 295) = 278775 / 55755

GCD(945, 295) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 83

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

LCM(5, 83) = 415

GCD(5, 83) = ( 5 x 83 ) / 415

GCD(5, 83) = 415 / 415

GCD(5, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

GCD of 945, 295, 83, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 829, 38, 405
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• GCD of 652, 249, 62, 899
• GCD of 730, 333, 40, 534

1. What is the GCD of 945, 295, 83, 428?

GCD of 945, 295, 83, 428 is 1

2. Where do I get the detailed procedure to find GCD of 945, 295, 83, 428?

You can find a detailed procedure to find GCD of 945, 295, 83, 428 on our page.

3. How to find GCD of 945, 295, 83, 428 on a calculator?

You can find the GCD of 945, 295, 83, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.