GCD of 298, 313, 188, 360 Calculator

Given Input numbers are 298, 313, 188, 360

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 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

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

GCD of numbers is the greatest common divisor

So, the GCD (298, 313, 188, 360) = 1.

Given numbers are 298, 313, 188, 360

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 313 are 313

Prime factors of 188 are 2 x 2 x 47

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

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

Given numbers are 298, 313, 188, 360

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

Apply this formula for all numbers.

Step1:

LCM(298, 313) = 93274

GCD(298, 313) = ( 298 x 313 ) / 93274

= 298 / 313

= 298

Step2:

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

= 1 / 188

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 298, 313, 188, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 212, 198, 663
• GCD of 808, 888, 545, 788
• GCD of 595, 760, 820, 632
• GCD of 976, 303, 872, 287
• GCD of 919, 420, 633, 557

Given numbers are 298, 313, 188, 360
The greatest common divisor of numbers 298, 313, 188, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 313, 188, 360 is 1.

1. What is the GCD of 298, 313, 188, 360?

GCD of given numbers 298, 313, 188, 360 is 1

2. How to calculate the greatest common divisor of 298, 313, 188, 360?

We can find the highest common divisor of 298, 313, 188, 360 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, 313, 188, 360 i.e 1.

3. How can I use the GCD of 298, 313, 188, 360Calculator?

Out the numbers 298, 313, 188, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.