GCD of 919, 957, 618, 342 Calculator

Given Input numbers are 919, 957, 618, 342

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

Divisors of 919

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

1, 919

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 919, 957, 618, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 919, 957, 618, 342 is 1.

Therefore, GCD of numbers 919, 957, 618, 342 is 1

Given Input Data is 919, 957, 618, 342

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

Prime Factorization of 919 is 919

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(919, 957) = 879483

GCD(919, 957) = ( 919 x 957 ) / 879483

GCD(919, 957) = 879483 / 879483

GCD(919, 957) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 618

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

LCM(1, 618) = 618

GCD(1, 618) = ( 1 x 618 ) / 618

GCD(1, 618) = 618 / 618

GCD(1, 618) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 919, 957, 618, 342 is 1

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1. What is the GCD of 919, 957, 618, 342?

GCD of 919, 957, 618, 342 is 1

2. Where do I get the detailed procedure to find GCD of 919, 957, 618, 342?

You can find a detailed procedure to find GCD of 919, 957, 618, 342 on our page.

3. How to find GCD of 919, 957, 618, 342 on a calculator?

You can find the GCD of 919, 957, 618, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.