GCD of 398, 180, 360, 790 Calculator

Given Input numbers are 398, 180, 360, 790

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

GCD of numbers is the greatest common divisor

So, the GCD (398, 180, 360, 790) = 2.

Given numbers are 398, 180, 360, 790

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 790 are 2 x 5 x 79

The highest common occurrence is 2¹

Therefore, GCD of 398, 180, 360, 790 is 2.

Given numbers are 398, 180, 360, 790

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

Apply this formula for all numbers.

Step1:

LCM(398, 180) = 35820

GCD(398, 180) = ( 398 x 180 ) / 35820

= 398 / 180

= 398

Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

Step3:

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

= 2 / 790

= 2

So, Greatest Common Divisor of 398, 180, 360, 790 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 206, 918, 552, 658
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Given numbers are 398, 180, 360, 790
The greatest common divisor of numbers 398, 180, 360, 790 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 180, 360, 790 is 2.

1. What is the GCD of 398, 180, 360, 790?

GCD of given numbers 398, 180, 360, 790 is 2

2. How to calculate the greatest common divisor of 398, 180, 360, 790?

We can find the highest common divisor of 398, 180, 360, 790 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, 180, 360, 790 i.e 2.

3. How can I use the GCD of 398, 180, 360, 790Calculator?

Out the numbers 398, 180, 360, 790 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.