GCD of 830, 706, 398, 638 Calculator

Given Input numbers are 830, 706, 398, 638

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

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 706 :

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

1, 2, 353, 706

Divisors of 398 :

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

1, 2, 199, 398

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

GCD of numbers is the greatest common divisor

So, the GCD (830, 706, 398, 638) = 2.

Given numbers are 830, 706, 398, 638

The list of prime factors of all numbers are

Prime factors of 830 are 2 x 5 x 83

Prime factors of 706 are 2 x 353

Prime factors of 398 are 2 x 199

Prime factors of 638 are 2 x 11 x 29

The highest common occurrence is 2¹

Therefore, GCD of 830, 706, 398, 638 is 2.

Given numbers are 830, 706, 398, 638

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

Apply this formula for all numbers.

Step1:

LCM(830, 706) = 292990

GCD(830, 706) = ( 830 x 706 ) / 292990

= 830 / 706

= 830

Step2:

LCM(2, 398) = 398

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

= 2 / 398

= 2

Step3:

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

= 2 / 638

= 2

So, Greatest Common Divisor of 830, 706, 398, 638 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 568, 965, 657
• GCD of 171, 523, 311, 827
• GCD of 667, 683, 192, 681
• GCD of 378, 346, 243, 841
• GCD of 103, 748, 984, 404

Given numbers are 830, 706, 398, 638
The greatest common divisor of numbers 830, 706, 398, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 830, 706, 398, 638 is 2.

1. What is the GCD of 830, 706, 398, 638?

GCD of given numbers 830, 706, 398, 638 is 2

2. How to calculate the greatest common divisor of 830, 706, 398, 638?

We can find the highest common divisor of 830, 706, 398, 638 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 830, 706, 398, 638 i.e 2.

3. How can I use the GCD of 830, 706, 398, 638Calculator?

Out the numbers 830, 706, 398, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.