GCD of 765, 705, 71, 611 Calculator

Given Input numbers are 765, 705, 71, 611

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

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 611

List of positive integer divisors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Greatest Common Divisior

We found the divisors of 765, 705, 71, 611 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 705, 71, 611 is 1.

Therefore, GCD of numbers 765, 705, 71, 611 is 1

Given Input Data is 765, 705, 71, 611

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

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 71 is 71

Prime Factorization of 611 is 13 x 47

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(765, 705) = 35955

GCD(765, 705) = ( 765 x 705 ) / 35955

GCD(765, 705) = 539325 / 35955

GCD(765, 705) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 71

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

LCM(15, 71) = 1065

GCD(15, 71) = ( 15 x 71 ) / 1065

GCD(15, 71) = 1065 / 1065

GCD(15, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 611

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

LCM(1, 611) = 611

GCD(1, 611) = ( 1 x 611 ) / 611

GCD(1, 611) = 611 / 611

GCD(1, 611) = 1

GCD of 765, 705, 71, 611 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 398, 17, 558
• GCD of 194, 880, 72, 613
• GCD of 793, 229, 94, 167
• GCD of 535, 989, 19, 964
• GCD of 183, 153, 41, 656

1. What is the GCD of 765, 705, 71, 611?

GCD of 765, 705, 71, 611 is 1

2. Where do I get the detailed procedure to find GCD of 765, 705, 71, 611?

You can find a detailed procedure to find GCD of 765, 705, 71, 611 on our page.

3. How to find GCD of 765, 705, 71, 611 on a calculator?

You can find the GCD of 765, 705, 71, 611 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.