GCD of 945, 618, 69, 813 Calculator

Given Input numbers are 945, 618, 69, 813

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 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 945, 618, 69, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 618, 69, 813 is 3.

Therefore, GCD of numbers 945, 618, 69, 813 is 3

Given Input Data is 945, 618, 69, 813

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 618 is 2 x 3 x 103

Prime Factorization of 69 is 3 x 23

Prime Factorization of 813 is 3 x 271

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, 618) = 194670

GCD(945, 618) = ( 945 x 618 ) / 194670

GCD(945, 618) = 584010 / 194670

GCD(945, 618) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 69

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

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

GCD(3, 69) = 207 / 69

GCD(3, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 813

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

LCM(3, 813) = 813

GCD(3, 813) = ( 3 x 813 ) / 813

GCD(3, 813) = 2439 / 813

GCD(3, 813) = 3

GCD of 945, 618, 69, 813 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 307, 89, 128
• GCD of 823, 475, 43, 988
• GCD of 305, 995, 68, 818
• GCD of 350, 187, 82, 439
• GCD of 132, 554, 23, 757

1. What is the GCD of 945, 618, 69, 813?

GCD of 945, 618, 69, 813 is 3

2. Where do I get the detailed procedure to find GCD of 945, 618, 69, 813?

You can find a detailed procedure to find GCD of 945, 618, 69, 813 on our page.

3. How to find GCD of 945, 618, 69, 813 on a calculator?

You can find the GCD of 945, 618, 69, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.