GCD of 736, 142, 16, 178 Calculator

Given Input numbers are 736, 142, 16, 178

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 142

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

1, 2, 71, 142

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 736, 142, 16, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 142, 16, 178 is 2.

Therefore, GCD of numbers 736, 142, 16, 178 is 2

Given Input Data is 736, 142, 16, 178

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 142 is 2 x 71

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 178 is 2 x 89

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(736, 142) = 52256

GCD(736, 142) = ( 736 x 142 ) / 52256

GCD(736, 142) = 104512 / 52256

GCD(736, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 178

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

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

GCD(2, 178) = 356 / 178

GCD(2, 178) = 2

GCD of 736, 142, 16, 178 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 749, 39, 155
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• GCD of 235, 203, 12, 646
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• GCD of 273, 241, 51, 296

1. What is the GCD of 736, 142, 16, 178?

GCD of 736, 142, 16, 178 is 2

2. Where do I get the detailed procedure to find GCD of 736, 142, 16, 178?

You can find a detailed procedure to find GCD of 736, 142, 16, 178 on our page.

3. How to find GCD of 736, 142, 16, 178 on a calculator?

You can find the GCD of 736, 142, 16, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.