GCD of 498, 438, 126 Calculator

Given Input numbers are 498, 438, 126

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

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

GCD of numbers is the greatest common divisor

So, the GCD (498, 438, 126) = 6.

Given numbers are 498, 438, 126

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 438 are 2 x 3 x 73

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 498, 438, 126 is 6.

Given numbers are 498, 438, 126

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

Apply this formula for all numbers.

Step1:

LCM(498, 438) = 36354

GCD(498, 438) = ( 498 x 438 ) / 36354

= 498 / 438

= 498

Step2:

LCM(6, 126) = 126

GCD(6, 126) = ( 6 x 126 ) / 126

= 6 / 126

= 6

So, Greatest Common Divisor of 498, 438, 126 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 288, 836
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Given numbers are 498, 438, 126
The greatest common divisor of numbers 498, 438, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 438, 126 is 6.

1. What is the GCD of 498, 438, 126?

GCD of given numbers 498, 438, 126 is 6

2. How to calculate the greatest common divisor of 498, 438, 126?

We can find the highest common divisor of 498, 438, 126 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 498, 438, 126 i.e 6.

3. How can I use the GCD of 498, 438, 126Calculator?

Out the numbers 498, 438, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.