GCD of 134, 786, 919 Calculator

Given Input numbers are 134, 786, 919

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

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 134, 786, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 786, 919 is 1.

Therefore, GCD of numbers 134, 786, 919 is 1

Given Input Data is 134, 786, 919

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 919 is 919

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(134, 786) = 52662

GCD(134, 786) = ( 134 x 786 ) / 52662

GCD(134, 786) = 105324 / 52662

GCD(134, 786) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 919

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

LCM(2, 919) = 1838

GCD(2, 919) = ( 2 x 919 ) / 1838

GCD(2, 919) = 1838 / 1838

GCD(2, 919) = 1

GCD of 134, 786, 919 is 1

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1. What is the GCD of 134, 786, 919?

GCD of 134, 786, 919 is 1

2. Where do I get the detailed procedure to find GCD of 134, 786, 919?

You can find a detailed procedure to find GCD of 134, 786, 919 on our page.

3. How to find GCD of 134, 786, 919 on a calculator?

You can find the GCD of 134, 786, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.