GCD of 765, 915, 92, 420 Calculator

Given Input numbers are 765, 915, 92, 420

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 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 765, 915, 92, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 915, 92, 420 is 1.

Therefore, GCD of numbers 765, 915, 92, 420 is 1

Given Input Data is 765, 915, 92, 420

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 915 is 3 x 5 x 61

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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, 915) = 46665

GCD(765, 915) = ( 765 x 915 ) / 46665

GCD(765, 915) = 699975 / 46665

GCD(765, 915) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 92

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

LCM(15, 92) = 1380

GCD(15, 92) = ( 15 x 92 ) / 1380

GCD(15, 92) = 1380 / 1380

GCD(15, 92) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 765, 915, 92, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 242, 387, 34, 229
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• GCD of 722, 750, 90, 265
• GCD of 338, 506, 75, 626
• GCD of 233, 816, 70, 437

1. What is the GCD of 765, 915, 92, 420?

GCD of 765, 915, 92, 420 is 1

2. Where do I get the detailed procedure to find GCD of 765, 915, 92, 420?

You can find a detailed procedure to find GCD of 765, 915, 92, 420 on our page.

3. How to find GCD of 765, 915, 92, 420 on a calculator?

You can find the GCD of 765, 915, 92, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.