Online GCD Calculator is useful to find the GCD of 890, 178, 24, 690 quickly. Get the easiest ways to solve the greatest common divisor of 890, 178, 24, 690 i.e 2 in different methods as follows.
Given Input numbers are 890, 178, 24, 690
In the factoring method, we have to find the divisors of all numbers
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 178 :
The positive integer divisors of 178 that completely divides 178 are.
1, 2, 89, 178
Divisors of 24 :
The positive integer divisors of 24 that completely divides 24 are.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
GCD of numbers is the greatest common divisor
So, the GCD (890, 178, 24, 690) = 2.
Given numbers are 890, 178, 24, 690
The list of prime factors of all numbers are
Prime factors of 890 are 2 x 5 x 89
Prime factors of 178 are 2 x 89
Prime factors of 24 are 2 x 2 x 2 x 3
Prime factors of 690 are 2 x 3 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 890, 178, 24, 690 is 2.
Given numbers are 890, 178, 24, 690
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(890, 178) = 890
GCD(890, 178) = ( 890 x 178 ) / 890
= 890 / 178
= 890
Step2:
LCM(178, 24) = 2136
GCD(178, 24) = ( 178 x 24 ) / 2136
= 178 / 24
= 178
Step3:
LCM(2, 690) = 690
GCD(2, 690) = ( 2 x 690 ) / 690
= 2 / 690
= 2
So, Greatest Common Divisor of 890, 178, 24, 690 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 890, 178, 24, 690
The greatest common divisor of numbers 890, 178, 24, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 890, 178, 24, 690 is 2.
1. What is the GCD of 890, 178, 24, 690?
GCD of given numbers 890, 178, 24, 690 is 2
2. How to calculate the greatest common divisor of 890, 178, 24, 690?
We can find the highest common divisor of 890, 178, 24, 690 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 890, 178, 24, 690 i.e 2.
3. How can I use the GCD of 890, 178, 24, 690Calculator?
Out the numbers 890, 178, 24, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.