GCD of 268, 772, 21, 124 Calculator

Given Input numbers are 268, 772, 21, 124

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

Divisors of 268

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

1, 2, 4, 67, 134, 268

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Greatest Common Divisior

We found the divisors of 268, 772, 21, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 772, 21, 124 is 1.

Therefore, GCD of numbers 268, 772, 21, 124 is 1

Given Input Data is 268, 772, 21, 124

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 21 is 3 x 7

Prime Factorization of 124 is 2 x 2 x 31

The above numbers do not have any common prime factor. So GCD is 1

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(268, 772) = 51724

GCD(268, 772) = ( 268 x 772 ) / 51724

GCD(268, 772) = 206896 / 51724

GCD(268, 772) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 21

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

LCM(4, 21) = 84

GCD(4, 21) = ( 4 x 21 ) / 84

GCD(4, 21) = 84 / 84

GCD(4, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 124

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

LCM(1, 124) = 124

GCD(1, 124) = ( 1 x 124 ) / 124

GCD(1, 124) = 124 / 124

GCD(1, 124) = 1

GCD of 268, 772, 21, 124 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 404, 28, 877
• GCD of 789, 262, 38, 716
• GCD of 230, 969, 18, 130
• GCD of 403, 231, 13, 769
• GCD of 305, 366, 72, 753

1. What is the GCD of 268, 772, 21, 124?

GCD of 268, 772, 21, 124 is 1

2. Where do I get the detailed procedure to find GCD of 268, 772, 21, 124?

You can find a detailed procedure to find GCD of 268, 772, 21, 124 on our page.

3. How to find GCD of 268, 772, 21, 124 on a calculator?

You can find the GCD of 268, 772, 21, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.