GCD of 838, 398, 228, 434 Calculator

Given Input numbers are 838, 398, 228, 434

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 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

GCD of numbers is the greatest common divisor

So, the GCD (838, 398, 228, 434) = 2.

Given numbers are 838, 398, 228, 434

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 398 are 2 x 199

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 434 are 2 x 7 x 31

The highest common occurrence is 2¹

Therefore, GCD of 838, 398, 228, 434 is 2.

Given numbers are 838, 398, 228, 434

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

Apply this formula for all numbers.

Step1:

LCM(838, 398) = 166762

GCD(838, 398) = ( 838 x 398 ) / 166762

= 838 / 398

= 838

Step2:

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

= 2 / 228

= 2

Step3:

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

= 2 / 434

= 2

So, Greatest Common Divisor of 838, 398, 228, 434 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 249, 984, 409
• GCD of 134, 884, 674, 869
• GCD of 256, 482, 337, 233
• GCD of 339, 429, 704, 905
• GCD of 473, 167, 346, 164

Given numbers are 838, 398, 228, 434
The greatest common divisor of numbers 838, 398, 228, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 398, 228, 434 is 2.

1. What is the GCD of 838, 398, 228, 434?

GCD of given numbers 838, 398, 228, 434 is 2

2. How to calculate the greatest common divisor of 838, 398, 228, 434?

We can find the highest common divisor of 838, 398, 228, 434 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, 398, 228, 434 i.e 2.

3. How can I use the GCD of 838, 398, 228, 434Calculator?

Out the numbers 838, 398, 228, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.