Online GCD Calculator is useful to find the GCD of 210, 990, 110, 169 quickly. Get the easiest ways to solve the greatest common divisor of 210, 990, 110, 169 i.e 1 in different methods as follows.
Given Input numbers are 210, 990, 110, 169
In the factoring method, we have to find the divisors of all numbers
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
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 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
GCD of numbers is the greatest common divisor
So, the GCD (210, 990, 110, 169) = 1.
Given numbers are 210, 990, 110, 169
The list of prime factors of all numbers are
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 110 are 2 x 5 x 11
Prime factors of 169 are 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 210, 990, 110, 169
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(210, 990) = 6930
GCD(210, 990) = ( 210 x 990 ) / 6930
= 210 / 990
= 210
Step2:
LCM(30, 110) = 330
GCD(30, 110) = ( 30 x 110 ) / 330
= 30 / 110
= 30
Step3:
LCM(10, 169) = 1690
GCD(10, 169) = ( 10 x 169 ) / 1690
= 10 / 169
= 10
So, Greatest Common Divisor of 210, 990, 110, 169 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 210, 990, 110, 169
The greatest common divisor of numbers 210, 990, 110, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 990, 110, 169 is 1.
1. What is the GCD of 210, 990, 110, 169?
GCD of given numbers 210, 990, 110, 169 is 1
2. How to calculate the greatest common divisor of 210, 990, 110, 169?
We can find the highest common divisor of 210, 990, 110, 169 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 210, 990, 110, 169 i.e 1.
3. How can I use the GCD of 210, 990, 110, 169Calculator?
Out the numbers 210, 990, 110, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.