GCD of 838, 328, 310, 240 Calculator

Given Input numbers are 838, 328, 310, 240

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (838, 328, 310, 240) = 2.

Given numbers are 838, 328, 310, 240

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 310 are 2 x 5 x 31

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 838, 328, 310, 240 is 2.

Given numbers are 838, 328, 310, 240

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

Apply this formula for all numbers.

Step1:

LCM(838, 328) = 137432

GCD(838, 328) = ( 838 x 328 ) / 137432

= 838 / 328

= 838

Step2:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

Step3:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2

So, Greatest Common Divisor of 838, 328, 310, 240 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 672, 745, 647
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Given numbers are 838, 328, 310, 240
The greatest common divisor of numbers 838, 328, 310, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 328, 310, 240 is 2.

1. What is the GCD of 838, 328, 310, 240?

GCD of given numbers 838, 328, 310, 240 is 2

2. How to calculate the greatest common divisor of 838, 328, 310, 240?

We can find the highest common divisor of 838, 328, 310, 240 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 838, 328, 310, 240 i.e 2.

3. How can I use the GCD of 838, 328, 310, 240Calculator?

Out the numbers 838, 328, 310, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.