GCD of 831, 840, 15, 761 Calculator

Given Input numbers are 831, 840, 15, 761

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

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 831, 840, 15, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 840, 15, 761 is 1.

Therefore, GCD of numbers 831, 840, 15, 761 is 1

Given Input Data is 831, 840, 15, 761

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 15 is 3 x 5

Prime Factorization of 761 is 761

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(831, 840) = 232680

GCD(831, 840) = ( 831 x 840 ) / 232680

GCD(831, 840) = 698040 / 232680

GCD(831, 840) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 15

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

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

GCD(3, 15) = 45 / 15

GCD(3, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 761

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

LCM(3, 761) = 2283

GCD(3, 761) = ( 3 x 761 ) / 2283

GCD(3, 761) = 2283 / 2283

GCD(3, 761) = 1

GCD of 831, 840, 15, 761 is 1

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1. What is the GCD of 831, 840, 15, 761?

GCD of 831, 840, 15, 761 is 1

2. Where do I get the detailed procedure to find GCD of 831, 840, 15, 761?

You can find a detailed procedure to find GCD of 831, 840, 15, 761 on our page.

3. How to find GCD of 831, 840, 15, 761 on a calculator?

You can find the GCD of 831, 840, 15, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.