GCD of 765, 360, 70, 427 Calculator

Given Input numbers are 765, 360, 70, 427

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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 765, 360, 70, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 360, 70, 427 is 1.

Therefore, GCD of numbers 765, 360, 70, 427 is 1

Given Input Data is 765, 360, 70, 427

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 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 427 is 7 x 61

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, 360) = 6120

GCD(765, 360) = ( 765 x 360 ) / 6120

GCD(765, 360) = 275400 / 6120

GCD(765, 360) = 45

Step2:

Here we consider the GCD from the above i.e. 45 as first number and the next as 70

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

LCM(45, 70) = 630

GCD(45, 70) = ( 45 x 70 ) / 630

GCD(45, 70) = 3150 / 630

GCD(45, 70) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 427

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

LCM(5, 427) = 2135

GCD(5, 427) = ( 5 x 427 ) / 2135

GCD(5, 427) = 2135 / 2135

GCD(5, 427) = 1

GCD of 765, 360, 70, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 598, 456, 51, 918
• GCD of 885, 431, 52, 479
• GCD of 428, 731, 50, 823
• GCD of 213, 790, 87, 470
• GCD of 223, 240, 26, 151

1. What is the GCD of 765, 360, 70, 427?

GCD of 765, 360, 70, 427 is 1

2. Where do I get the detailed procedure to find GCD of 765, 360, 70, 427?

You can find a detailed procedure to find GCD of 765, 360, 70, 427 on our page.

3. How to find GCD of 765, 360, 70, 427 on a calculator?

You can find the GCD of 765, 360, 70, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.