GCD of 198, 225, 746, 495 Calculator

Given Input numbers are 198, 225, 746, 495

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 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

GCD of numbers is the greatest common divisor

So, the GCD (198, 225, 746, 495) = 1.

Given numbers are 198, 225, 746, 495

The list of prime factors of all numbers are

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

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 746 are 2 x 373

Prime factors of 495 are 3 x 3 x 5 x 11

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

Given numbers are 198, 225, 746, 495

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

Apply this formula for all numbers.

Step1:

LCM(198, 225) = 4950

GCD(198, 225) = ( 198 x 225 ) / 4950

= 198 / 225

= 198

Step2:

LCM(9, 746) = 6714

GCD(9, 746) = ( 9 x 746 ) / 6714

= 9 / 746

= 9

Step3:

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

= 1 / 495

= 1

So, Greatest Common Divisor of 198, 225, 746, 495 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 891, 895, 248
• GCD of 216, 391, 380, 392
• GCD of 808, 526, 310, 198
• GCD of 846, 967, 353, 109
• GCD of 147, 733, 675, 290

Given numbers are 198, 225, 746, 495
The greatest common divisor of numbers 198, 225, 746, 495 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 225, 746, 495 is 1.

1. What is the GCD of 198, 225, 746, 495?

GCD of given numbers 198, 225, 746, 495 is 1

2. How to calculate the greatest common divisor of 198, 225, 746, 495?

We can find the highest common divisor of 198, 225, 746, 495 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, 225, 746, 495 i.e 1.

3. How can I use the GCD of 198, 225, 746, 495Calculator?

Out the numbers 198, 225, 746, 495 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.