GCD of 446, 536, 252, 198 Calculator

Given Input numbers are 446, 536, 252, 198

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

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

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

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

GCD of numbers is the greatest common divisor

So, the GCD (446, 536, 252, 198) = 2.

Given numbers are 446, 536, 252, 198

The list of prime factors of all numbers are

Prime factors of 446 are 2 x 223

Prime factors of 536 are 2 x 2 x 2 x 67

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

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

The highest common occurrence is 2¹

Therefore, GCD of 446, 536, 252, 198 is 2.

Given numbers are 446, 536, 252, 198

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

Apply this formula for all numbers.

Step1:

LCM(446, 536) = 119528

GCD(446, 536) = ( 446 x 536 ) / 119528

= 446 / 536

= 446

Step2:

LCM(2, 252) = 252

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

= 2 / 252

= 2

Step3:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

So, Greatest Common Divisor of 446, 536, 252, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 789, 975, 844
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Given numbers are 446, 536, 252, 198
The greatest common divisor of numbers 446, 536, 252, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 446, 536, 252, 198 is 2.

1. What is the GCD of 446, 536, 252, 198?

GCD of given numbers 446, 536, 252, 198 is 2

2. How to calculate the greatest common divisor of 446, 536, 252, 198?

We can find the highest common divisor of 446, 536, 252, 198 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 446, 536, 252, 198 i.e 2.

3. How can I use the GCD of 446, 536, 252, 198Calculator?

Out the numbers 446, 536, 252, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.