GCD of 328, 742, 76, 254 Calculator

Given Input numbers are 328, 742, 76, 254

In the factoring method, we have to find the divisors of all numbers

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 76 :

The positive integer divisors of 76 that completely divides 76 are.

1, 2, 4, 19, 38, 76

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

GCD of numbers is the greatest common divisor

So, the GCD (328, 742, 76, 254) = 2.

Given numbers are 328, 742, 76, 254

The list of prime factors of all numbers are

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 742 are 2 x 7 x 53

Prime factors of 76 are 2 x 2 x 19

Prime factors of 254 are 2 x 127

The highest common occurrence is 2¹

Therefore, GCD of 328, 742, 76, 254 is 2.

Given numbers are 328, 742, 76, 254

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(328, 742) = 121688

GCD(328, 742) = ( 328 x 742 ) / 121688

= 328 / 742

= 328

Step2:

LCM(2, 76) = 76

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

= 2 / 76

= 2

Step3:

LCM(2, 254) = 254

GCD(2, 254) = ( 2 x 254 ) / 254

= 2 / 254

= 2

So, Greatest Common Divisor of 328, 742, 76, 254 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 968, 50, 667
• GCD of 298, 508, 66, 333
• GCD of 987, 503, 89, 928
• GCD of 748, 458, 29, 447
• GCD of 775, 663, 54, 910

Given numbers are 328, 742, 76, 254
The greatest common divisor of numbers 328, 742, 76, 254 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 742, 76, 254 is 2.

1. What is the GCD of 328, 742, 76, 254?

GCD of given numbers 328, 742, 76, 254 is 2

2. How to calculate the greatest common divisor of 328, 742, 76, 254?

We can find the highest common divisor of 328, 742, 76, 254 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 328, 742, 76, 254 i.e 2.

3. How can I use the GCD of 328, 742, 76, 254Calculator?

Out the numbers 328, 742, 76, 254 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.