GCD of 340, 176, 104, 338 Calculator

Given Input numbers are 340, 176, 104, 338

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (340, 176, 104, 338) = 2.

Given numbers are 340, 176, 104, 338

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 340, 176, 104, 338 is 2.

Given numbers are 340, 176, 104, 338

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

Apply this formula for all numbers.

Step1:

LCM(340, 176) = 14960

GCD(340, 176) = ( 340 x 176 ) / 14960

= 340 / 176

= 340

Step2:

LCM(4, 104) = 104

GCD(4, 104) = ( 4 x 104 ) / 104

= 4 / 104

= 4

Step3:

LCM(4, 338) = 676

GCD(4, 338) = ( 4 x 338 ) / 676

= 4 / 338

= 4

So, Greatest Common Divisor of 340, 176, 104, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 603, 767, 741
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• GCD of 901, 896, 985, 970
• GCD of 106, 572, 388, 805

Given numbers are 340, 176, 104, 338
The greatest common divisor of numbers 340, 176, 104, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 176, 104, 338 is 2.

1. What is the GCD of 340, 176, 104, 338?

GCD of given numbers 340, 176, 104, 338 is 2

2. How to calculate the greatest common divisor of 340, 176, 104, 338?

We can find the highest common divisor of 340, 176, 104, 338 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 340, 176, 104, 338 i.e 2.

3. How can I use the GCD of 340, 176, 104, 338Calculator?

Out the numbers 340, 176, 104, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.