GCD of 826, 945, 63, 219 Calculator

Given Input numbers are 826, 945, 63, 219

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

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

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 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 826, 945, 63, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 945, 63, 219 is 1.

Therefore, GCD of numbers 826, 945, 63, 219 is 1

Given Input Data is 826, 945, 63, 219

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

Prime Factorization of 826 is 2 x 7 x 59

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

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 219 is 3 x 73

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(826, 945) = 111510

GCD(826, 945) = ( 826 x 945 ) / 111510

GCD(826, 945) = 780570 / 111510

GCD(826, 945) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 63

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

LCM(7, 63) = 63

GCD(7, 63) = ( 7 x 63 ) / 63

GCD(7, 63) = 441 / 63

GCD(7, 63) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 219

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

LCM(7, 219) = 1533

GCD(7, 219) = ( 7 x 219 ) / 1533

GCD(7, 219) = 1533 / 1533

GCD(7, 219) = 1

GCD of 826, 945, 63, 219 is 1

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1. What is the GCD of 826, 945, 63, 219?

GCD of 826, 945, 63, 219 is 1

2. Where do I get the detailed procedure to find GCD of 826, 945, 63, 219?

You can find a detailed procedure to find GCD of 826, 945, 63, 219 on our page.

3. How to find GCD of 826, 945, 63, 219 on a calculator?

You can find the GCD of 826, 945, 63, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.