GCD of 196, 712, 82, 954 Calculator

Given Input numbers are 196, 712, 82, 954

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

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 196, 712, 82, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 712, 82, 954 is 2.

Therefore, GCD of numbers 196, 712, 82, 954 is 2

Given Input Data is 196, 712, 82, 954

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 82 is 2 x 41

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(196, 712) = 34888

GCD(196, 712) = ( 196 x 712 ) / 34888

GCD(196, 712) = 139552 / 34888

GCD(196, 712) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 82

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

LCM(4, 82) = 164

GCD(4, 82) = ( 4 x 82 ) / 164

GCD(4, 82) = 328 / 164

GCD(4, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 954

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

LCM(2, 954) = 954

GCD(2, 954) = ( 2 x 954 ) / 954

GCD(2, 954) = 1908 / 954

GCD(2, 954) = 2

GCD of 196, 712, 82, 954 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 731, 81, 898
• GCD of 556, 561, 34, 776
• GCD of 120, 604, 86, 948
• GCD of 769, 640, 53, 934
• GCD of 139, 111, 18, 685

1. What is the GCD of 196, 712, 82, 954?

GCD of 196, 712, 82, 954 is 2

2. Where do I get the detailed procedure to find GCD of 196, 712, 82, 954?

You can find a detailed procedure to find GCD of 196, 712, 82, 954 on our page.

3. How to find GCD of 196, 712, 82, 954 on a calculator?

You can find the GCD of 196, 712, 82, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.