GCD of 492, 354, 198 Calculator

Given Input numbers are 492, 354, 198

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

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 (492, 354, 198) = 6.

Given numbers are 492, 354, 198

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 354 are 2 x 3 x 59

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 492, 354, 198 is 6.

Given numbers are 492, 354, 198

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

Apply this formula for all numbers.

Step1:

LCM(492, 354) = 29028

GCD(492, 354) = ( 492 x 354 ) / 29028

= 492 / 354

= 492

Step2:

LCM(6, 198) = 198

GCD(6, 198) = ( 6 x 198 ) / 198

= 6 / 198

= 6

So, Greatest Common Divisor of 492, 354, 198 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 723, 535
• GCD of 760, 624, 435
• GCD of 111, 860, 882
• GCD of 810, 719, 601
• GCD of 511, 130, 647

Given numbers are 492, 354, 198
The greatest common divisor of numbers 492, 354, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 354, 198 is 6.

1. What is the GCD of 492, 354, 198?

GCD of given numbers 492, 354, 198 is 6

2. How to calculate the greatest common divisor of 492, 354, 198?

We can find the highest common divisor of 492, 354, 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 492, 354, 198 i.e 6.

3. How can I use the GCD of 492, 354, 198Calculator?

Out the numbers 492, 354, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.