GCD of 954, 870, 671, 234 Calculator

Given Input numbers are 954, 870, 671, 234

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

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 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 954, 870, 671, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 870, 671, 234 is 1.

Therefore, GCD of numbers 954, 870, 671, 234 is 1

Given Input Data is 954, 870, 671, 234

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

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 671 is 11 x 61

Prime Factorization of 234 is 2 x 3 x 3 x 13

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(954, 870) = 138330

GCD(954, 870) = ( 954 x 870 ) / 138330

GCD(954, 870) = 829980 / 138330

GCD(954, 870) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 671

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

LCM(6, 671) = 4026

GCD(6, 671) = ( 6 x 671 ) / 4026

GCD(6, 671) = 4026 / 4026

GCD(6, 671) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

GCD of 954, 870, 671, 234 is 1

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1. What is the GCD of 954, 870, 671, 234?

GCD of 954, 870, 671, 234 is 1

2. Where do I get the detailed procedure to find GCD of 954, 870, 671, 234?

You can find a detailed procedure to find GCD of 954, 870, 671, 234 on our page.

3. How to find GCD of 954, 870, 671, 234 on a calculator?

You can find the GCD of 954, 870, 671, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.