GCD of 298, 360, 238, 563 Calculator

Given Input numbers are 298, 360, 238, 563

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

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

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 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 563 :

The positive integer divisors of 563 that completely divides 563 are.

1, 563

GCD of numbers is the greatest common divisor

So, the GCD (298, 360, 238, 563) = 1.

Given numbers are 298, 360, 238, 563

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

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

Prime factors of 238 are 2 x 7 x 17

Prime factors of 563 are 563

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 298, 360, 238, 563

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

Apply this formula for all numbers.

Step1:

LCM(298, 360) = 53640

GCD(298, 360) = ( 298 x 360 ) / 53640

= 298 / 360

= 298

Step2:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

Step3:

LCM(2, 563) = 1126

GCD(2, 563) = ( 2 x 563 ) / 1126

= 2 / 563

= 2

So, Greatest Common Divisor of 298, 360, 238, 563 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 148, 265, 119
• GCD of 901, 121, 788, 793
• GCD of 220, 241, 281, 214
• GCD of 813, 828, 717, 439
• GCD of 484, 808, 683, 314

Given numbers are 298, 360, 238, 563
The greatest common divisor of numbers 298, 360, 238, 563 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 360, 238, 563 is 1.

1. What is the GCD of 298, 360, 238, 563?

GCD of given numbers 298, 360, 238, 563 is 1

2. How to calculate the greatest common divisor of 298, 360, 238, 563?

We can find the highest common divisor of 298, 360, 238, 563 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 298, 360, 238, 563 i.e 1.

3. How can I use the GCD of 298, 360, 238, 563Calculator?

Out the numbers 298, 360, 238, 563 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.