GCD of 338, 460, 886, 696 Calculator

Given Input numbers are 338, 460, 886, 696

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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 886 :

The positive integer divisors of 886 that completely divides 886 are.

1, 2, 443, 886

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

GCD of numbers is the greatest common divisor

So, the GCD (338, 460, 886, 696) = 2.

Given numbers are 338, 460, 886, 696

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 886 are 2 x 443

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 338, 460, 886, 696 is 2.

Given numbers are 338, 460, 886, 696

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

Apply this formula for all numbers.

Step1:

LCM(338, 460) = 77740

GCD(338, 460) = ( 338 x 460 ) / 77740

= 338 / 460

= 338

Step2:

LCM(2, 886) = 886

GCD(2, 886) = ( 2 x 886 ) / 886

= 2 / 886

= 2

Step3:

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

= 2 / 696

= 2

So, Greatest Common Divisor of 338, 460, 886, 696 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 183, 529, 454
• GCD of 241, 973, 796, 474
• GCD of 621, 836, 688, 484
• GCD of 869, 423, 473, 564
• GCD of 113, 602, 115, 236

Given numbers are 338, 460, 886, 696
The greatest common divisor of numbers 338, 460, 886, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 460, 886, 696 is 2.

1. What is the GCD of 338, 460, 886, 696?

GCD of given numbers 338, 460, 886, 696 is 2

2. How to calculate the greatest common divisor of 338, 460, 886, 696?

We can find the highest common divisor of 338, 460, 886, 696 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, 460, 886, 696 i.e 2.

3. How can I use the GCD of 338, 460, 886, 696Calculator?

Out the numbers 338, 460, 886, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.