GCD of 625, 805, 66, 709 Calculator

Given Input numbers are 625, 805, 66, 709

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

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

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 625, 805, 66, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 805, 66, 709 is 1.

Therefore, GCD of numbers 625, 805, 66, 709 is 1

Given Input Data is 625, 805, 66, 709

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

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 805 is 5 x 7 x 23

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(625, 805) = 100625

GCD(625, 805) = ( 625 x 805 ) / 100625

GCD(625, 805) = 503125 / 100625

GCD(625, 805) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 66

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

LCM(5, 66) = 330

GCD(5, 66) = ( 5 x 66 ) / 330

GCD(5, 66) = 330 / 330

GCD(5, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 625, 805, 66, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 334, 75, 154
• GCD of 888, 904, 18, 834
• GCD of 444, 700, 36, 836
• GCD of 893, 219, 50, 623
• GCD of 447, 107, 27, 823

1. What is the GCD of 625, 805, 66, 709?

GCD of 625, 805, 66, 709 is 1

2. Where do I get the detailed procedure to find GCD of 625, 805, 66, 709?

You can find a detailed procedure to find GCD of 625, 805, 66, 709 on our page.

3. How to find GCD of 625, 805, 66, 709 on a calculator?

You can find the GCD of 625, 805, 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.