GCD of 945, 305, 280, 367 Calculator

Given Input numbers are 945, 305, 280, 367

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Greatest Common Divisior

We found the divisors of 945, 305, 280, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 305, 280, 367 is 1.

Therefore, GCD of numbers 945, 305, 280, 367 is 1

Given Input Data is 945, 305, 280, 367

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 305 is 5 x 61

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 367 is 367

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, 305) = 57645

GCD(945, 305) = ( 945 x 305 ) / 57645

GCD(945, 305) = 288225 / 57645

GCD(945, 305) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 280

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

LCM(5, 280) = 280

GCD(5, 280) = ( 5 x 280 ) / 280

GCD(5, 280) = 1400 / 280

GCD(5, 280) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 367

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

LCM(5, 367) = 1835

GCD(5, 367) = ( 5 x 367 ) / 1835

GCD(5, 367) = 1835 / 1835

GCD(5, 367) = 1

GCD of 945, 305, 280, 367 is 1

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• GCD of 962, 961, 963, 528
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1. What is the GCD of 945, 305, 280, 367?

GCD of 945, 305, 280, 367 is 1

2. Where do I get the detailed procedure to find GCD of 945, 305, 280, 367?

You can find a detailed procedure to find GCD of 945, 305, 280, 367 on our page.

3. How to find GCD of 945, 305, 280, 367 on a calculator?

You can find the GCD of 945, 305, 280, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.