GCD of 706, 316, 838, 398 Calculator

Given Input numbers are 706, 316, 838, 398

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

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

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

GCD of numbers is the greatest common divisor

So, the GCD (706, 316, 838, 398) = 2.

Given numbers are 706, 316, 838, 398

The list of prime factors of all numbers are

Prime factors of 706 are 2 x 353

Prime factors of 316 are 2 x 2 x 79

Prime factors of 838 are 2 x 419

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 706, 316, 838, 398 is 2.

Given numbers are 706, 316, 838, 398

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

Apply this formula for all numbers.

Step1:

LCM(706, 316) = 111548

GCD(706, 316) = ( 706 x 316 ) / 111548

= 706 / 316

= 706

Step2:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2

Step3:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

So, Greatest Common Divisor of 706, 316, 838, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 730, 791, 191, 771
• GCD of 830, 310, 942, 480
• GCD of 122, 205, 623, 560
• GCD of 713, 168, 966, 849
• GCD of 986, 422, 743, 789

Given numbers are 706, 316, 838, 398
The greatest common divisor of numbers 706, 316, 838, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 316, 838, 398 is 2.

1. What is the GCD of 706, 316, 838, 398?

GCD of given numbers 706, 316, 838, 398 is 2

2. How to calculate the greatest common divisor of 706, 316, 838, 398?

We can find the highest common divisor of 706, 316, 838, 398 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 706, 316, 838, 398 i.e 2.

3. How can I use the GCD of 706, 316, 838, 398Calculator?

Out the numbers 706, 316, 838, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.