Online GCD Calculator is useful to find the GCD of 238, 970, 388, 160 quickly. Get the easiest ways to solve the greatest common divisor of 238, 970, 388, 160 i.e 2 in different methods as follows.
Given Input numbers are 238, 970, 388, 160
In the factoring method, we have to find the divisors of all numbers
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 388 :
The positive integer divisors of 388 that completely divides 388 are.
1, 2, 4, 97, 194, 388
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
GCD of numbers is the greatest common divisor
So, the GCD (238, 970, 388, 160) = 2.
Given numbers are 238, 970, 388, 160
The list of prime factors of all numbers are
Prime factors of 238 are 2 x 7 x 17
Prime factors of 970 are 2 x 5 x 97
Prime factors of 388 are 2 x 2 x 97
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 238, 970, 388, 160 is 2.
Given numbers are 238, 970, 388, 160
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(238, 970) = 115430
GCD(238, 970) = ( 238 x 970 ) / 115430
= 238 / 970
= 238
Step2:
LCM(2, 388) = 388
GCD(2, 388) = ( 2 x 388 ) / 388
= 2 / 388
= 2
Step3:
LCM(2, 160) = 160
GCD(2, 160) = ( 2 x 160 ) / 160
= 2 / 160
= 2
So, Greatest Common Divisor of 238, 970, 388, 160 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 238, 970, 388, 160
The greatest common divisor of numbers 238, 970, 388, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 970, 388, 160 is 2.
1. What is the GCD of 238, 970, 388, 160?
GCD of given numbers 238, 970, 388, 160 is 2
2. How to calculate the greatest common divisor of 238, 970, 388, 160?
We can find the highest common divisor of 238, 970, 388, 160 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 238, 970, 388, 160 i.e 2.
3. How can I use the GCD of 238, 970, 388, 160Calculator?
Out the numbers 238, 970, 388, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.