GCD of 198, 177, 730, 360 Calculator

Given Input numbers are 198, 177, 730, 360

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

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

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 (198, 177, 730, 360) = 1.

Given numbers are 198, 177, 730, 360

The list of prime factors of all numbers are

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 177 are 3 x 59

Prime factors of 730 are 2 x 5 x 73

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 198, 177, 730, 360

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

Apply this formula for all numbers.

Step1:

LCM(198, 177) = 11682

GCD(198, 177) = ( 198 x 177 ) / 11682

= 198 / 177

= 198

Step2:

LCM(3, 730) = 2190

GCD(3, 730) = ( 3 x 730 ) / 2190

= 3 / 730

= 3

Step3:

LCM(1, 360) = 360

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

= 1 / 360

= 1

So, Greatest Common Divisor of 198, 177, 730, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 587, 726, 591
• GCD of 859, 965, 926, 295
• GCD of 795, 332, 920, 755
• GCD of 688, 471, 801, 521
• GCD of 313, 516, 255, 694

Given numbers are 198, 177, 730, 360
The greatest common divisor of numbers 198, 177, 730, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 177, 730, 360 is 1.

1. What is the GCD of 198, 177, 730, 360?

GCD of given numbers 198, 177, 730, 360 is 1

2. How to calculate the greatest common divisor of 198, 177, 730, 360?

We can find the highest common divisor of 198, 177, 730, 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 198, 177, 730, 360 i.e 1.

3. How can I use the GCD of 198, 177, 730, 360Calculator?

Out the numbers 198, 177, 730, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.