Online GCD Calculator is useful to find the GCD of 100, 836, 990, 493 quickly. Get the easiest ways to solve the greatest common divisor of 100, 836, 990, 493 i.e 1 in different methods as follows.
Given Input numbers are 100, 836, 990, 493
In the factoring method, we have to find the divisors of all numbers
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 836 :
The positive integer divisors of 836 that completely divides 836 are.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
GCD of numbers is the greatest common divisor
So, the GCD (100, 836, 990, 493) = 1.
Given numbers are 100, 836, 990, 493
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 836 are 2 x 2 x 11 x 19
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 493 are 17 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 836, 990, 493
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 836) = 20900
GCD(100, 836) = ( 100 x 836 ) / 20900
= 100 / 836
= 100
Step2:
LCM(4, 990) = 1980
GCD(4, 990) = ( 4 x 990 ) / 1980
= 4 / 990
= 4
Step3:
LCM(2, 493) = 986
GCD(2, 493) = ( 2 x 493 ) / 986
= 2 / 493
= 2
So, Greatest Common Divisor of 100, 836, 990, 493 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 836, 990, 493
The greatest common divisor of numbers 100, 836, 990, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 836, 990, 493 is 1.
1. What is the GCD of 100, 836, 990, 493?
GCD of given numbers 100, 836, 990, 493 is 1
2. How to calculate the greatest common divisor of 100, 836, 990, 493?
We can find the highest common divisor of 100, 836, 990, 493 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 100, 836, 990, 493 i.e 1.
3. How can I use the GCD of 100, 836, 990, 493Calculator?
Out the numbers 100, 836, 990, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.