GCD of 338, 682, 896, 556 Calculator

Given Input numbers are 338, 682, 896, 556

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

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

GCD of numbers is the greatest common divisor

So, the GCD (338, 682, 896, 556) = 2.

Given numbers are 338, 682, 896, 556

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 682 are 2 x 11 x 31

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 556 are 2 x 2 x 139

The highest common occurrence is 2¹

Therefore, GCD of 338, 682, 896, 556 is 2.

Given numbers are 338, 682, 896, 556

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

Apply this formula for all numbers.

Step1:

LCM(338, 682) = 115258

GCD(338, 682) = ( 338 x 682 ) / 115258

= 338 / 682

= 338

Step2:

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

= 2 / 896

= 2

Step3:

LCM(2, 556) = 556

GCD(2, 556) = ( 2 x 556 ) / 556

= 2 / 556

= 2

So, Greatest Common Divisor of 338, 682, 896, 556 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 513, 593, 581
• GCD of 766, 983, 468, 983
• GCD of 587, 764, 848, 651
• GCD of 608, 533, 759, 618
• GCD of 834, 735, 850, 963

Given numbers are 338, 682, 896, 556
The greatest common divisor of numbers 338, 682, 896, 556 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 682, 896, 556 is 2.

1. What is the GCD of 338, 682, 896, 556?

GCD of given numbers 338, 682, 896, 556 is 2

2. How to calculate the greatest common divisor of 338, 682, 896, 556?

We can find the highest common divisor of 338, 682, 896, 556 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 338, 682, 896, 556 i.e 2.

3. How can I use the GCD of 338, 682, 896, 556Calculator?

Out the numbers 338, 682, 896, 556 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.