GCD of 398, 608, 112, 340 Calculator

Given Input numbers are 398, 608, 112, 340

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 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (398, 608, 112, 340) = 2.

Given numbers are 398, 608, 112, 340

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 340 are 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 398, 608, 112, 340 is 2.

Given numbers are 398, 608, 112, 340

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

Apply this formula for all numbers.

Step1:

LCM(398, 608) = 120992

GCD(398, 608) = ( 398 x 608 ) / 120992

= 398 / 608

= 398

Step2:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

Step3:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

So, Greatest Common Divisor of 398, 608, 112, 340 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 804, 508, 590
• GCD of 892, 403, 270, 232
• GCD of 701, 620, 318, 455
• GCD of 957, 568, 891, 525
• GCD of 496, 565, 341, 400

Given numbers are 398, 608, 112, 340
The greatest common divisor of numbers 398, 608, 112, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 608, 112, 340 is 2.

1. What is the GCD of 398, 608, 112, 340?

GCD of given numbers 398, 608, 112, 340 is 2

2. How to calculate the greatest common divisor of 398, 608, 112, 340?

We can find the highest common divisor of 398, 608, 112, 340 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, 608, 112, 340 i.e 2.

3. How can I use the GCD of 398, 608, 112, 340Calculator?

Out the numbers 398, 608, 112, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.