Online GCD Calculator is useful to find the GCD of 238, 452, 680 quickly. Get the easiest ways to solve the greatest common divisor of 238, 452, 680 i.e 2 in different methods as follows.
Given Input numbers are 238, 452, 680
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 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (238, 452, 680) = 2.
Given numbers are 238, 452, 680
The list of prime factors of all numbers are
Prime factors of 238 are 2 x 7 x 17
Prime factors of 452 are 2 x 2 x 113
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 238, 452, 680 is 2.
Given numbers are 238, 452, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(238, 452) = 53788
GCD(238, 452) = ( 238 x 452 ) / 53788
= 238 / 452
= 238
Step2:
LCM(2, 680) = 680
GCD(2, 680) = ( 2 x 680 ) / 680
= 2 / 680
= 2
So, Greatest Common Divisor of 238, 452, 680 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 238, 452, 680
The greatest common divisor of numbers 238, 452, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 452, 680 is 2.
1. What is the GCD of 238, 452, 680?
GCD of given numbers 238, 452, 680 is 2
2. How to calculate the greatest common divisor of 238, 452, 680?
We can find the highest common divisor of 238, 452, 680 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, 452, 680 i.e 2.
3. How can I use the GCD of 238, 452, 680Calculator?
Out the numbers 238, 452, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.