GCD of 142, 408, 196, 706 Calculator

Given Input numbers are 142, 408, 196, 706

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 142, 408, 196, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 408, 196, 706 is 2.

Therefore, GCD of numbers 142, 408, 196, 706 is 2

Given Input Data is 142, 408, 196, 706

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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

Prime Factorization of 706 is 2 x 353

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(142, 408) = 28968

GCD(142, 408) = ( 142 x 408 ) / 28968

GCD(142, 408) = 57936 / 28968

GCD(142, 408) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 196

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

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

GCD(2, 196) = 392 / 196

GCD(2, 196) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 706

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

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

GCD(2, 706) = 1412 / 706

GCD(2, 706) = 2

GCD of 142, 408, 196, 706 is 2

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1. What is the GCD of 142, 408, 196, 706?

GCD of 142, 408, 196, 706 is 2

2. Where do I get the detailed procedure to find GCD of 142, 408, 196, 706?

You can find a detailed procedure to find GCD of 142, 408, 196, 706 on our page.

3. How to find GCD of 142, 408, 196, 706 on a calculator?

You can find the GCD of 142, 408, 196, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.