GCD of 621, 831, 105, 498 Calculator

Given Input numbers are 621, 831, 105, 498

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

Divisors of 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 498 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (621, 831, 105, 498) = 3.

Given numbers are 621, 831, 105, 498

The list of prime factors of all numbers are

Prime factors of 621 are 3 x 3 x 3 x 23

Prime factors of 831 are 3 x 277

Prime factors of 105 are 3 x 5 x 7

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 621, 831, 105, 498 is 3.

Given numbers are 621, 831, 105, 498

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

Apply this formula for all numbers.

Step1:

LCM(621, 831) = 172017

GCD(621, 831) = ( 621 x 831 ) / 172017

= 621 / 831

= 621

Step2:

LCM(3, 105) = 105

GCD(3, 105) = ( 3 x 105 ) / 105

= 3 / 105

= 3

Step3:

LCM(3, 498) = 498

GCD(3, 498) = ( 3 x 498 ) / 498

= 3 / 498

= 3

So, Greatest Common Divisor of 621, 831, 105, 498 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 951, 213, 339, 481
• GCD of 721, 710, 586, 284
• GCD of 904, 151, 880, 885
• GCD of 763, 949, 743, 111
• GCD of 275, 269, 277, 999

Given numbers are 621, 831, 105, 498
The greatest common divisor of numbers 621, 831, 105, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 621, 831, 105, 498 is 3.

1. What is the GCD of 621, 831, 105, 498?

GCD of given numbers 621, 831, 105, 498 is 3

2. How to calculate the greatest common divisor of 621, 831, 105, 498?

We can find the highest common divisor of 621, 831, 105, 498 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 621, 831, 105, 498 i.e 3.

3. How can I use the GCD of 621, 831, 105, 498Calculator?

Out the numbers 621, 831, 105, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.