GCD of 128, 158, 76, 118 Calculator

Given Input numbers are 128, 158, 76, 118

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

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 128, 158, 76, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 158, 76, 118 is 2.

Therefore, GCD of numbers 128, 158, 76, 118 is 2

Given Input Data is 128, 158, 76, 118

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

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 158 is 2 x 79

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 118 is 2 x 59

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(128, 158) = 10112

GCD(128, 158) = ( 128 x 158 ) / 10112

GCD(128, 158) = 20224 / 10112

GCD(128, 158) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 118

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

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

GCD(2, 118) = 236 / 118

GCD(2, 118) = 2

GCD of 128, 158, 76, 118 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 528, 454, 59, 254
• GCD of 227, 590, 73, 886
• GCD of 623, 131, 90, 935
• GCD of 963, 744, 26, 864
• GCD of 628, 233, 21, 646

1. What is the GCD of 128, 158, 76, 118?

GCD of 128, 158, 76, 118 is 2

2. Where do I get the detailed procedure to find GCD of 128, 158, 76, 118?

You can find a detailed procedure to find GCD of 128, 158, 76, 118 on our page.

3. How to find GCD of 128, 158, 76, 118 on a calculator?

You can find the GCD of 128, 158, 76, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.