GCD of 154, 268, 24, 922 Calculator

Given Input numbers are 154, 268, 24, 922

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 154, 268, 24, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 268, 24, 922 is 2.

Therefore, GCD of numbers 154, 268, 24, 922 is 2

Given Input Data is 154, 268, 24, 922

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 922 is 2 x 461

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(154, 268) = 20636

GCD(154, 268) = ( 154 x 268 ) / 20636

GCD(154, 268) = 41272 / 20636

GCD(154, 268) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 922

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

LCM(2, 922) = 922

GCD(2, 922) = ( 2 x 922 ) / 922

GCD(2, 922) = 1844 / 922

GCD(2, 922) = 2

GCD of 154, 268, 24, 922 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 729, 31, 412
• GCD of 304, 176, 30, 358
• GCD of 771, 248, 59, 553
• GCD of 390, 211, 37, 284
• GCD of 425, 690, 93, 854

1. What is the GCD of 154, 268, 24, 922?

GCD of 154, 268, 24, 922 is 2

2. Where do I get the detailed procedure to find GCD of 154, 268, 24, 922?

You can find a detailed procedure to find GCD of 154, 268, 24, 922 on our page.

3. How to find GCD of 154, 268, 24, 922 on a calculator?

You can find the GCD of 154, 268, 24, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.