Online GCD Calculator is useful to find the GCD of 498, 832, 638 quickly. Get the easiest ways to solve the greatest common divisor of 498, 832, 638 i.e 2 in different methods as follows.
Given Input numbers are 498, 832, 638
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 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
GCD of numbers is the greatest common divisor
So, the GCD (498, 832, 638) = 2.
Given numbers are 498, 832, 638
The list of prime factors of all numbers are
Prime factors of 498 are 2 x 3 x 83
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 638 are 2 x 11 x 29
The highest common occurrence is 21
Therefore, GCD of 498, 832, 638 is 2.
Given numbers are 498, 832, 638
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(498, 832) = 207168
GCD(498, 832) = ( 498 x 832 ) / 207168
= 498 / 832
= 498
Step2:
LCM(2, 638) = 638
GCD(2, 638) = ( 2 x 638 ) / 638
= 2 / 638
= 2
So, Greatest Common Divisor of 498, 832, 638 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 498, 832, 638
The greatest common divisor of numbers 498, 832, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 832, 638 is 2.
1. What is the GCD of 498, 832, 638?
GCD of given numbers 498, 832, 638 is 2
2. How to calculate the greatest common divisor of 498, 832, 638?
We can find the highest common divisor of 498, 832, 638 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, 832, 638 i.e 2.
3. How can I use the GCD of 498, 832, 638Calculator?
Out the numbers 498, 832, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.