GCD of 338, 916, 314, 826 Calculator

Given Input numbers are 338, 916, 314, 826

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 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

GCD of numbers is the greatest common divisor

So, the GCD (338, 916, 314, 826) = 2.

Given numbers are 338, 916, 314, 826

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 916 are 2 x 2 x 229

Prime factors of 314 are 2 x 157

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹

Therefore, GCD of 338, 916, 314, 826 is 2.

Given numbers are 338, 916, 314, 826

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

Apply this formula for all numbers.

Step1:

LCM(338, 916) = 154804

GCD(338, 916) = ( 338 x 916 ) / 154804

= 338 / 916

= 338

Step2:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

Step3:

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

= 2 / 826

= 2

So, Greatest Common Divisor of 338, 916, 314, 826 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 936, 216, 297
• GCD of 591, 856, 312, 488
• GCD of 324, 664, 464, 440
• GCD of 694, 294, 205, 538
• GCD of 973, 199, 854, 125

Given numbers are 338, 916, 314, 826
The greatest common divisor of numbers 338, 916, 314, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 916, 314, 826 is 2.

1. What is the GCD of 338, 916, 314, 826?

GCD of given numbers 338, 916, 314, 826 is 2

2. How to calculate the greatest common divisor of 338, 916, 314, 826?

We can find the highest common divisor of 338, 916, 314, 826 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, 916, 314, 826 i.e 2.

3. How can I use the GCD of 338, 916, 314, 826Calculator?

Out the numbers 338, 916, 314, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.