GCD of 198, 456, 802, 121 Calculator

Given Input numbers are 198, 456, 802, 121

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 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

GCD of numbers is the greatest common divisor

So, the GCD (198, 456, 802, 121) = 1.

Given numbers are 198, 456, 802, 121

The list of prime factors of all numbers are

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

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 802 are 2 x 401

Prime factors of 121 are 11 x 11

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

Given numbers are 198, 456, 802, 121

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

Apply this formula for all numbers.

Step1:

LCM(198, 456) = 15048

GCD(198, 456) = ( 198 x 456 ) / 15048

= 198 / 456

= 198

Step2:

LCM(6, 802) = 2406

GCD(6, 802) = ( 6 x 802 ) / 2406

= 6 / 802

= 6

Step3:

LCM(2, 121) = 242

GCD(2, 121) = ( 2 x 121 ) / 242

= 2 / 121

= 2

So, Greatest Common Divisor of 198, 456, 802, 121 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 646, 588, 791
• GCD of 469, 824, 982, 455
• GCD of 198, 453, 801, 371
• GCD of 470, 993, 870, 134
• GCD of 517, 793, 650, 262

Given numbers are 198, 456, 802, 121
The greatest common divisor of numbers 198, 456, 802, 121 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 456, 802, 121 is 1.

1. What is the GCD of 198, 456, 802, 121?

GCD of given numbers 198, 456, 802, 121 is 1

2. How to calculate the greatest common divisor of 198, 456, 802, 121?

We can find the highest common divisor of 198, 456, 802, 121 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, 456, 802, 121 i.e 1.

3. How can I use the GCD of 198, 456, 802, 121Calculator?

Out the numbers 198, 456, 802, 121 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.