GCD of 498, 100, 126, 818 Calculator

Given Input numbers are 498, 100, 126, 818

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 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 818 :

The positive integer divisors of 818 that completely divides 818 are.

1, 2, 409, 818

GCD of numbers is the greatest common divisor

So, the GCD (498, 100, 126, 818) = 2.

Given numbers are 498, 100, 126, 818

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 100 are 2 x 2 x 5 x 5

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

Prime factors of 818 are 2 x 409

The highest common occurrence is 2¹

Therefore, GCD of 498, 100, 126, 818 is 2.

Given numbers are 498, 100, 126, 818

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

Apply this formula for all numbers.

Step1:

LCM(498, 100) = 24900

GCD(498, 100) = ( 498 x 100 ) / 24900

= 498 / 100

= 498

Step2:

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

= 2 / 126

= 2

Step3:

LCM(2, 818) = 818

GCD(2, 818) = ( 2 x 818 ) / 818

= 2 / 818

= 2

So, Greatest Common Divisor of 498, 100, 126, 818 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 719, 951, 198, 119
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• GCD of 711, 467, 754, 885

Given numbers are 498, 100, 126, 818
The greatest common divisor of numbers 498, 100, 126, 818 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 100, 126, 818 is 2.

1. What is the GCD of 498, 100, 126, 818?

GCD of given numbers 498, 100, 126, 818 is 2

2. How to calculate the greatest common divisor of 498, 100, 126, 818?

We can find the highest common divisor of 498, 100, 126, 818 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, 100, 126, 818 i.e 2.

3. How can I use the GCD of 498, 100, 126, 818Calculator?

Out the numbers 498, 100, 126, 818 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.