Online GCD Calculator is useful to find the GCD of 176, 988, 238, 690 quickly. Get the easiest ways to solve the greatest common divisor of 176, 988, 238, 690 i.e 2 in different methods as follows.
Given Input numbers are 176, 988, 238, 690
In the factoring method, we have to find the divisors of all numbers
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
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 (176, 988, 238, 690) = 2.
Given numbers are 176, 988, 238, 690
The list of prime factors of all numbers are
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 238 are 2 x 7 x 17
Prime factors of 690 are 2 x 3 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 176, 988, 238, 690 is 2.
Given numbers are 176, 988, 238, 690
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(176, 988) = 43472
GCD(176, 988) = ( 176 x 988 ) / 43472
= 176 / 988
= 176
Step2:
LCM(4, 238) = 476
GCD(4, 238) = ( 4 x 238 ) / 476
= 4 / 238
= 4
Step3:
LCM(2, 690) = 690
GCD(2, 690) = ( 2 x 690 ) / 690
= 2 / 690
= 2
So, Greatest Common Divisor of 176, 988, 238, 690 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 176, 988, 238, 690
The greatest common divisor of numbers 176, 988, 238, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 988, 238, 690 is 2.
1. What is the GCD of 176, 988, 238, 690?
GCD of given numbers 176, 988, 238, 690 is 2
2. How to calculate the greatest common divisor of 176, 988, 238, 690?
We can find the highest common divisor of 176, 988, 238, 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 176, 988, 238, 690 i.e 2.
3. How can I use the GCD of 176, 988, 238, 690Calculator?
Out the numbers 176, 988, 238, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.