GCD of 198, 902, 890, 252 Calculator

Given Input numbers are 198, 902, 890, 252

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 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (198, 902, 890, 252) = 2.

Given numbers are 198, 902, 890, 252

The list of prime factors of all numbers are

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

Prime factors of 902 are 2 x 11 x 41

Prime factors of 890 are 2 x 5 x 89

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 198, 902, 890, 252 is 2.

Given numbers are 198, 902, 890, 252

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

Apply this formula for all numbers.

Step1:

LCM(198, 902) = 8118

GCD(198, 902) = ( 198 x 902 ) / 8118

= 198 / 902

= 198

Step2:

LCM(22, 890) = 9790

GCD(22, 890) = ( 22 x 890 ) / 9790

= 22 / 890

= 22

Step3:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

So, Greatest Common Divisor of 198, 902, 890, 252 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 458, 407, 364, 575
• GCD of 982, 892, 560, 983
• GCD of 409, 250, 369, 940
• GCD of 526, 804, 631, 222
• GCD of 325, 459, 330, 453

Given numbers are 198, 902, 890, 252
The greatest common divisor of numbers 198, 902, 890, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 902, 890, 252 is 2.

1. What is the GCD of 198, 902, 890, 252?

GCD of given numbers 198, 902, 890, 252 is 2

2. How to calculate the greatest common divisor of 198, 902, 890, 252?

We can find the highest common divisor of 198, 902, 890, 252 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, 902, 890, 252 i.e 2.

3. How can I use the GCD of 198, 902, 890, 252Calculator?

Out the numbers 198, 902, 890, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.