GCD of 338, 182, 364 Calculator

Given Input numbers are 338, 182, 364

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 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (338, 182, 364) = 26.

Given numbers are 338, 182, 364

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 182 are 2 x 7 x 13

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 13¹ x 2¹

Therefore, GCD of 338, 182, 364 is 26.

Given numbers are 338, 182, 364

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

Apply this formula for all numbers.

Step1:

LCM(338, 182) = 2366

GCD(338, 182) = ( 338 x 182 ) / 2366

= 338 / 182

= 338

Step2:

LCM(26, 364) = 364

GCD(26, 364) = ( 26 x 364 ) / 364

= 26 / 364

= 26

So, Greatest Common Divisor of 338, 182, 364 is 26

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 244, 610
• GCD of 399, 940, 910
• GCD of 954, 952, 269
• GCD of 105, 614, 785
• GCD of 659, 694, 762

Given numbers are 338, 182, 364
The greatest common divisor of numbers 338, 182, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 182, 364 is 26.

1. What is the GCD of 338, 182, 364?

GCD of given numbers 338, 182, 364 is 26

2. How to calculate the greatest common divisor of 338, 182, 364?

We can find the highest common divisor of 338, 182, 364 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, 182, 364 i.e 26.

3. How can I use the GCD of 338, 182, 364Calculator?

Out the numbers 338, 182, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.