GCD of 945, 777, 39, 684 Calculator

Given Input numbers are 945, 777, 39, 684

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 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 945, 777, 39, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 777, 39, 684 is 3.

Therefore, GCD of numbers 945, 777, 39, 684 is 3

Given Input Data is 945, 777, 39, 684

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 777 is 3 x 7 x 37

Prime Factorization of 39 is 3 x 13

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 777) = 34965

GCD(945, 777) = ( 945 x 777 ) / 34965

GCD(945, 777) = 734265 / 34965

GCD(945, 777) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 39

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

LCM(21, 39) = 273

GCD(21, 39) = ( 21 x 39 ) / 273

GCD(21, 39) = 819 / 273

GCD(21, 39) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 684

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

LCM(3, 684) = 684

GCD(3, 684) = ( 3 x 684 ) / 684

GCD(3, 684) = 2052 / 684

GCD(3, 684) = 3

GCD of 945, 777, 39, 684 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 789, 884, 10, 742
• GCD of 271, 880, 67, 453
• GCD of 737, 891, 35, 433
• GCD of 526, 705, 68, 453
• GCD of 544, 538, 24, 655

1. What is the GCD of 945, 777, 39, 684?

GCD of 945, 777, 39, 684 is 3

2. Where do I get the detailed procedure to find GCD of 945, 777, 39, 684?

You can find a detailed procedure to find GCD of 945, 777, 39, 684 on our page.

3. How to find GCD of 945, 777, 39, 684 on a calculator?

You can find the GCD of 945, 777, 39, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.