GCD of 89, 954, 959, 279 Calculator

Given Input numbers are 89, 954, 959, 279

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

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 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 89, 954, 959, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 954, 959, 279 is 1.

Therefore, GCD of numbers 89, 954, 959, 279 is 1

Given Input Data is 89, 954, 959, 279

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

Prime Factorization of 89 is 89

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

Prime Factorization of 959 is 7 x 137

Prime Factorization of 279 is 3 x 3 x 31

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(89, 954) = 84906

GCD(89, 954) = ( 89 x 954 ) / 84906

GCD(89, 954) = 84906 / 84906

GCD(89, 954) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 89, 954, 959, 279 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 39, 919, 199, 878
• GCD of 53, 851, 714, 998
• GCD of 48, 498, 240, 142
• GCD of 52, 496, 633, 734
• GCD of 45, 311, 556, 663

1. What is the GCD of 89, 954, 959, 279?

GCD of 89, 954, 959, 279 is 1

2. Where do I get the detailed procedure to find GCD of 89, 954, 959, 279?

You can find a detailed procedure to find GCD of 89, 954, 959, 279 on our page.

3. How to find GCD of 89, 954, 959, 279 on a calculator?

You can find the GCD of 89, 954, 959, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.