GCD of 876, 345, 278, 861 Calculator

Given Input numbers are 876, 345, 278, 861

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

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Greatest Common Divisior

We found the divisors of 876, 345, 278, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 345, 278, 861 is 1.

Therefore, GCD of numbers 876, 345, 278, 861 is 1

Given Input Data is 876, 345, 278, 861

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

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 278 is 2 x 139

Prime Factorization of 861 is 3 x 7 x 41

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(876, 345) = 100740

GCD(876, 345) = ( 876 x 345 ) / 100740

GCD(876, 345) = 302220 / 100740

GCD(876, 345) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 278

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

LCM(3, 278) = 834

GCD(3, 278) = ( 3 x 278 ) / 834

GCD(3, 278) = 834 / 834

GCD(3, 278) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 861

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

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

GCD(1, 861) = 861 / 861

GCD(1, 861) = 1

GCD of 876, 345, 278, 861 is 1

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• GCD of 354, 913, 240, 175
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1. What is the GCD of 876, 345, 278, 861?

GCD of 876, 345, 278, 861 is 1

2. Where do I get the detailed procedure to find GCD of 876, 345, 278, 861?

You can find a detailed procedure to find GCD of 876, 345, 278, 861 on our page.

3. How to find GCD of 876, 345, 278, 861 on a calculator?

You can find the GCD of 876, 345, 278, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.