GCD of 83, 694, 468, 954 Calculator

Given Input numbers are 83, 694, 468, 954

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

Divisors of 83

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

1, 83

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

Greatest Common Divisior

We found the divisors of 83, 694, 468, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 694, 468, 954 is 1.

Therefore, GCD of numbers 83, 694, 468, 954 is 1

Given Input Data is 83, 694, 468, 954

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

Prime Factorization of 83 is 83

Prime Factorization of 694 is 2 x 347

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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

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(83, 694) = 57602

GCD(83, 694) = ( 83 x 694 ) / 57602

GCD(83, 694) = 57602 / 57602

GCD(83, 694) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

GCD of 83, 694, 468, 954 is 1

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• GCD of 78, 308, 897, 973
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1. What is the GCD of 83, 694, 468, 954?

GCD of 83, 694, 468, 954 is 1

2. Where do I get the detailed procedure to find GCD of 83, 694, 468, 954?

You can find a detailed procedure to find GCD of 83, 694, 468, 954 on our page.

3. How to find GCD of 83, 694, 468, 954 on a calculator?

You can find the GCD of 83, 694, 468, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.