GCD of 260, 954, 83, 119 Calculator

Given Input numbers are 260, 954, 83, 119

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 260, 954, 83, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 954, 83, 119 is 1.

Therefore, GCD of numbers 260, 954, 83, 119 is 1

Given Input Data is 260, 954, 83, 119

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 83 is 83

Prime Factorization of 119 is 7 x 17

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(260, 954) = 124020

GCD(260, 954) = ( 260 x 954 ) / 124020

GCD(260, 954) = 248040 / 124020

GCD(260, 954) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

GCD of 260, 954, 83, 119 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 905, 71, 654
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1. What is the GCD of 260, 954, 83, 119?

GCD of 260, 954, 83, 119 is 1

2. Where do I get the detailed procedure to find GCD of 260, 954, 83, 119?

You can find a detailed procedure to find GCD of 260, 954, 83, 119 on our page.

3. How to find GCD of 260, 954, 83, 119 on a calculator?

You can find the GCD of 260, 954, 83, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.