GCD of 442, 338, 248, 676 Calculator

Given Input numbers are 442, 338, 248, 676

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (442, 338, 248, 676) = 2.

Given numbers are 442, 338, 248, 676

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 338 are 2 x 13 x 13

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 442, 338, 248, 676 is 2.

Given numbers are 442, 338, 248, 676

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

Apply this formula for all numbers.

Step1:

LCM(442, 338) = 5746

GCD(442, 338) = ( 442 x 338 ) / 5746

= 442 / 338

= 442

Step2:

LCM(26, 248) = 3224

GCD(26, 248) = ( 26 x 248 ) / 3224

= 26 / 248

= 26

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 442, 338, 248, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 480, 705, 333, 510
• GCD of 585, 483, 431, 461
• GCD of 534, 115, 795, 295
• GCD of 378, 107, 951, 286
• GCD of 433, 731, 144, 397

Given numbers are 442, 338, 248, 676
The greatest common divisor of numbers 442, 338, 248, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 338, 248, 676 is 2.

1. What is the GCD of 442, 338, 248, 676?

GCD of given numbers 442, 338, 248, 676 is 2

2. How to calculate the greatest common divisor of 442, 338, 248, 676?

We can find the highest common divisor of 442, 338, 248, 676 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 442, 338, 248, 676 i.e 2.

3. How can I use the GCD of 442, 338, 248, 676Calculator?

Out the numbers 442, 338, 248, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.