GCD of 453, 126, 198, 348 Calculator

Given Input numbers are 453, 126, 198, 348

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

Divisors of 453 :

The positive integer divisors of 453 that completely divides 453 are.

1, 3, 151, 453

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (453, 126, 198, 348) = 3.

Given numbers are 453, 126, 198, 348

The list of prime factors of all numbers are

Prime factors of 453 are 3 x 151

Prime factors of 126 are 2 x 3 x 3 x 7

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

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 453, 126, 198, 348 is 3.

Given numbers are 453, 126, 198, 348

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

Apply this formula for all numbers.

Step1:

LCM(453, 126) = 19026

GCD(453, 126) = ( 453 x 126 ) / 19026

= 453 / 126

= 453

Step2:

LCM(3, 198) = 198

GCD(3, 198) = ( 3 x 198 ) / 198

= 3 / 198

= 3

Step3:

LCM(3, 348) = 348

GCD(3, 348) = ( 3 x 348 ) / 348

= 3 / 348

= 3

So, Greatest Common Divisor of 453, 126, 198, 348 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 378, 531, 570, 674
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Given numbers are 453, 126, 198, 348
The greatest common divisor of numbers 453, 126, 198, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 453, 126, 198, 348 is 3.

1. What is the GCD of 453, 126, 198, 348?

GCD of given numbers 453, 126, 198, 348 is 3

2. How to calculate the greatest common divisor of 453, 126, 198, 348?

We can find the highest common divisor of 453, 126, 198, 348 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 453, 126, 198, 348 i.e 3.

3. How can I use the GCD of 453, 126, 198, 348Calculator?

Out the numbers 453, 126, 198, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.