GCD of 205, 945, 769, 702 Calculator

Given Input numbers are 205, 945, 769, 702

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

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 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 205, 945, 769, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 945, 769, 702 is 1.

Therefore, GCD of numbers 205, 945, 769, 702 is 1

Given Input Data is 205, 945, 769, 702

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 769 is 769

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(205, 945) = 38745

GCD(205, 945) = ( 205 x 945 ) / 38745

GCD(205, 945) = 193725 / 38745

GCD(205, 945) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 769

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

LCM(5, 769) = 3845

GCD(5, 769) = ( 5 x 769 ) / 3845

GCD(5, 769) = 3845 / 3845

GCD(5, 769) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 205, 945, 769, 702 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 589, 593, 876
• GCD of 669, 131, 706, 385
• GCD of 820, 775, 935, 276
• GCD of 792, 275, 893, 715
• GCD of 197, 457, 161, 758

1. What is the GCD of 205, 945, 769, 702?

GCD of 205, 945, 769, 702 is 1

2. Where do I get the detailed procedure to find GCD of 205, 945, 769, 702?

You can find a detailed procedure to find GCD of 205, 945, 769, 702 on our page.

3. How to find GCD of 205, 945, 769, 702 on a calculator?

You can find the GCD of 205, 945, 769, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.