GCD of 809, 876, 761, 100 Calculator

Given Input numbers are 809, 876, 761, 100

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

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 761

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

1, 761

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 809, 876, 761, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 876, 761, 100 is 1.

Therefore, GCD of numbers 809, 876, 761, 100 is 1

Given Input Data is 809, 876, 761, 100

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

Prime Factorization of 809 is 809

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

Prime Factorization of 761 is 761

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(809, 876) = 708684

GCD(809, 876) = ( 809 x 876 ) / 708684

GCD(809, 876) = 708684 / 708684

GCD(809, 876) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 761

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

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

GCD(1, 761) = 761 / 761

GCD(1, 761) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 809, 876, 761, 100 is 1

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• GCD of 767, 848, 738, 234
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1. What is the GCD of 809, 876, 761, 100?

GCD of 809, 876, 761, 100 is 1

2. Where do I get the detailed procedure to find GCD of 809, 876, 761, 100?

You can find a detailed procedure to find GCD of 809, 876, 761, 100 on our page.

3. How to find GCD of 809, 876, 761, 100 on a calculator?

You can find the GCD of 809, 876, 761, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.