GCD of 124, 343, 663, 772 Calculator

Given Input numbers are 124, 343, 663, 772

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

Divisors of 124

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

1, 2, 4, 31, 62, 124

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 772

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

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 124, 343, 663, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 343, 663, 772 is 1.

Therefore, GCD of numbers 124, 343, 663, 772 is 1

Given Input Data is 124, 343, 663, 772

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

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 772 is 2 x 2 x 193

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(124, 343) = 42532

GCD(124, 343) = ( 124 x 343 ) / 42532

GCD(124, 343) = 42532 / 42532

GCD(124, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 663

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

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

GCD(1, 663) = 663 / 663

GCD(1, 663) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 124, 343, 663, 772 is 1

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1. What is the GCD of 124, 343, 663, 772?

GCD of 124, 343, 663, 772 is 1

2. Where do I get the detailed procedure to find GCD of 124, 343, 663, 772?

You can find a detailed procedure to find GCD of 124, 343, 663, 772 on our page.

3. How to find GCD of 124, 343, 663, 772 on a calculator?

You can find the GCD of 124, 343, 663, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.