GCD of 198, 358, 226, 420 Calculator

Given Input numbers are 198, 358, 226, 420

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 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (198, 358, 226, 420) = 2.

Given numbers are 198, 358, 226, 420

The list of prime factors of all numbers are

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

Prime factors of 358 are 2 x 179

Prime factors of 226 are 2 x 113

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 198, 358, 226, 420 is 2.

Given numbers are 198, 358, 226, 420

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

Apply this formula for all numbers.

Step1:

LCM(198, 358) = 35442

GCD(198, 358) = ( 198 x 358 ) / 35442

= 198 / 358

= 198

Step2:

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

= 2 / 226

= 2

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 198, 358, 226, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 586, 694, 734
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Given numbers are 198, 358, 226, 420
The greatest common divisor of numbers 198, 358, 226, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 358, 226, 420 is 2.

1. What is the GCD of 198, 358, 226, 420?

GCD of given numbers 198, 358, 226, 420 is 2

2. How to calculate the greatest common divisor of 198, 358, 226, 420?

We can find the highest common divisor of 198, 358, 226, 420 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, 358, 226, 420 i.e 2.

3. How can I use the GCD of 198, 358, 226, 420Calculator?

Out the numbers 198, 358, 226, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.