GCD of 398, 658, 708, 566 Calculator

Given Input numbers are 398, 658, 708, 566

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

Divisors of 398 :

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

1, 2, 199, 398

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

GCD of numbers is the greatest common divisor

So, the GCD (398, 658, 708, 566) = 2.

Given numbers are 398, 658, 708, 566

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 658 are 2 x 7 x 47

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 566 are 2 x 283

The highest common occurrence is 2¹

Therefore, GCD of 398, 658, 708, 566 is 2.

Given numbers are 398, 658, 708, 566

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

Apply this formula for all numbers.

Step1:

LCM(398, 658) = 130942

GCD(398, 658) = ( 398 x 658 ) / 130942

= 398 / 658

= 398

Step2:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2

Step3:

LCM(2, 566) = 566

GCD(2, 566) = ( 2 x 566 ) / 566

= 2 / 566

= 2

So, Greatest Common Divisor of 398, 658, 708, 566 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 876, 506, 797
• GCD of 602, 587, 101, 167
• GCD of 791, 801, 412, 534
• GCD of 808, 462, 529, 966
• GCD of 364, 201, 368, 822

Given numbers are 398, 658, 708, 566
The greatest common divisor of numbers 398, 658, 708, 566 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 658, 708, 566 is 2.

1. What is the GCD of 398, 658, 708, 566?

GCD of given numbers 398, 658, 708, 566 is 2

2. How to calculate the greatest common divisor of 398, 658, 708, 566?

We can find the highest common divisor of 398, 658, 708, 566 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 398, 658, 708, 566 i.e 2.

3. How can I use the GCD of 398, 658, 708, 566Calculator?

Out the numbers 398, 658, 708, 566 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.