GCD of 152, 912, 10, 148 Calculator

Given Input numbers are 152, 912, 10, 148

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 152, 912, 10, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 912, 10, 148 is 2.

Therefore, GCD of numbers 152, 912, 10, 148 is 2

Given Input Data is 152, 912, 10, 148

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 10 is 2 x 5

Prime Factorization of 148 is 2 x 2 x 37

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(152, 912) = 912

GCD(152, 912) = ( 152 x 912 ) / 912

GCD(152, 912) = 138624 / 912

GCD(152, 912) = 152

Step2:

Here we consider the GCD from the above i.e. 152 as first number and the next as 10

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

LCM(152, 10) = 760

GCD(152, 10) = ( 152 x 10 ) / 760

GCD(152, 10) = 1520 / 760

GCD(152, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 148

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

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

GCD(2, 148) = 296 / 148

GCD(2, 148) = 2

GCD of 152, 912, 10, 148 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 724, 662, 33, 690
• GCD of 670, 299, 16, 884
• GCD of 847, 154, 85, 865
• GCD of 637, 262, 33, 514
• GCD of 249, 629, 29, 904

1. What is the GCD of 152, 912, 10, 148?

GCD of 152, 912, 10, 148 is 2

2. Where do I get the detailed procedure to find GCD of 152, 912, 10, 148?

You can find a detailed procedure to find GCD of 152, 912, 10, 148 on our page.

3. How to find GCD of 152, 912, 10, 148 on a calculator?

You can find the GCD of 152, 912, 10, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.