GCD of 945, 815, 84, 140 Calculator

Given Input numbers are 945, 815, 84, 140

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 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 945, 815, 84, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 815, 84, 140 is 1.

Therefore, GCD of numbers 945, 815, 84, 140 is 1

Given Input Data is 945, 815, 84, 140

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 815 is 5 x 163

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 140 is 2 x 2 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(945, 815) = 154035

GCD(945, 815) = ( 945 x 815 ) / 154035

GCD(945, 815) = 770175 / 154035

GCD(945, 815) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 84

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

LCM(5, 84) = 420

GCD(5, 84) = ( 5 x 84 ) / 420

GCD(5, 84) = 420 / 420

GCD(5, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

GCD of 945, 815, 84, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 531, 46, 449
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• GCD of 116, 767, 78, 177

1. What is the GCD of 945, 815, 84, 140?

GCD of 945, 815, 84, 140 is 1

2. Where do I get the detailed procedure to find GCD of 945, 815, 84, 140?

You can find a detailed procedure to find GCD of 945, 815, 84, 140 on our page.

3. How to find GCD of 945, 815, 84, 140 on a calculator?

You can find the GCD of 945, 815, 84, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.