GCD of 198, 435, 486, 156 Calculator

Given Input numbers are 198, 435, 486, 156

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 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

GCD of numbers is the greatest common divisor

So, the GCD (198, 435, 486, 156) = 3.

Given numbers are 198, 435, 486, 156

The list of prime factors of all numbers are

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

Prime factors of 435 are 3 x 5 x 29

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 156 are 2 x 2 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 198, 435, 486, 156 is 3.

Given numbers are 198, 435, 486, 156

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

Apply this formula for all numbers.

Step1:

LCM(198, 435) = 28710

GCD(198, 435) = ( 198 x 435 ) / 28710

= 198 / 435

= 198

Step2:

LCM(3, 486) = 486

GCD(3, 486) = ( 3 x 486 ) / 486

= 3 / 486

= 3

Step3:

LCM(3, 156) = 156

GCD(3, 156) = ( 3 x 156 ) / 156

= 3 / 156

= 3

So, Greatest Common Divisor of 198, 435, 486, 156 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 261, 873, 823, 874
• GCD of 638, 975, 390, 318
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• GCD of 588, 972, 241, 814
• GCD of 844, 779, 567, 583

Given numbers are 198, 435, 486, 156
The greatest common divisor of numbers 198, 435, 486, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 435, 486, 156 is 3.

1. What is the GCD of 198, 435, 486, 156?

GCD of given numbers 198, 435, 486, 156 is 3

2. How to calculate the greatest common divisor of 198, 435, 486, 156?

We can find the highest common divisor of 198, 435, 486, 156 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, 435, 486, 156 i.e 3.

3. How can I use the GCD of 198, 435, 486, 156Calculator?

Out the numbers 198, 435, 486, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.