GCD of 945, 816, 157, 216 Calculator

Given Input numbers are 945, 816, 157, 216

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 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 945, 816, 157, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 816, 157, 216 is 1.

Therefore, GCD of numbers 945, 816, 157, 216 is 1

Given Input Data is 945, 816, 157, 216

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 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 157 is 157

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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, 816) = 257040

GCD(945, 816) = ( 945 x 816 ) / 257040

GCD(945, 816) = 771120 / 257040

GCD(945, 816) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 157

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

LCM(3, 157) = 471

GCD(3, 157) = ( 3 x 157 ) / 471

GCD(3, 157) = 471 / 471

GCD(3, 157) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 945, 816, 157, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 430, 344, 341, 705
• GCD of 268, 619, 430, 567
• GCD of 531, 775, 583, 670
• GCD of 397, 925, 463, 130
• GCD of 986, 634, 762, 702

1. What is the GCD of 945, 816, 157, 216?

GCD of 945, 816, 157, 216 is 1

2. Where do I get the detailed procedure to find GCD of 945, 816, 157, 216?

You can find a detailed procedure to find GCD of 945, 816, 157, 216 on our page.

3. How to find GCD of 945, 816, 157, 216 on a calculator?

You can find the GCD of 945, 816, 157, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.