GCD of 945, 627, 66, 709 Calculator

Given Input numbers are 945, 627, 66, 709

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 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 945, 627, 66, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 627, 66, 709 is 1.

Therefore, GCD of numbers 945, 627, 66, 709 is 1

Given Input Data is 945, 627, 66, 709

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 627 is 3 x 11 x 19

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 709 is 709

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, 627) = 197505

GCD(945, 627) = ( 945 x 627 ) / 197505

GCD(945, 627) = 592515 / 197505

GCD(945, 627) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 709

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

LCM(3, 709) = 2127

GCD(3, 709) = ( 3 x 709 ) / 2127

GCD(3, 709) = 2127 / 2127

GCD(3, 709) = 1

GCD of 945, 627, 66, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 597, 18, 897
• GCD of 922, 917, 16, 232
• GCD of 458, 574, 21, 910
• GCD of 568, 839, 73, 547
• GCD of 252, 374, 56, 107

1. What is the GCD of 945, 627, 66, 709?

GCD of 945, 627, 66, 709 is 1

2. Where do I get the detailed procedure to find GCD of 945, 627, 66, 709?

You can find a detailed procedure to find GCD of 945, 627, 66, 709 on our page.

3. How to find GCD of 945, 627, 66, 709 on a calculator?

You can find the GCD of 945, 627, 66, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.