GCD of 340, 238, 828, 268 Calculator

Given Input numbers are 340, 238, 828, 268

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 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

GCD of numbers is the greatest common divisor

So, the GCD (340, 238, 828, 268) = 2.

Given numbers are 340, 238, 828, 268

The list of prime factors of all numbers are

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

Prime factors of 238 are 2 x 7 x 17

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 268 are 2 x 2 x 67

The highest common occurrence is 2¹

Therefore, GCD of 340, 238, 828, 268 is 2.

Given numbers are 340, 238, 828, 268

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

Apply this formula for all numbers.

Step1:

LCM(340, 238) = 2380

GCD(340, 238) = ( 340 x 238 ) / 2380

= 340 / 238

= 340

Step2:

LCM(34, 828) = 14076

GCD(34, 828) = ( 34 x 828 ) / 14076

= 34 / 828

= 34

Step3:

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

= 2 / 268

= 2

So, Greatest Common Divisor of 340, 238, 828, 268 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 754, 466, 685
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• GCD of 596, 389, 663, 424
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Given numbers are 340, 238, 828, 268
The greatest common divisor of numbers 340, 238, 828, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 238, 828, 268 is 2.

1. What is the GCD of 340, 238, 828, 268?

GCD of given numbers 340, 238, 828, 268 is 2

2. How to calculate the greatest common divisor of 340, 238, 828, 268?

We can find the highest common divisor of 340, 238, 828, 268 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, 238, 828, 268 i.e 2.

3. How can I use the GCD of 340, 238, 828, 268Calculator?

Out the numbers 340, 238, 828, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.