Online GCD Calculator is useful to find the GCD of 208, 788, 114, 220 quickly. Get the easiest ways to solve the greatest common divisor of 208, 788, 114, 220 i.e 2 in different methods as follows.
Given Input numbers are 208, 788, 114, 220
In the factoring method, we have to find the divisors of all numbers
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
GCD of numbers is the greatest common divisor
So, the GCD (208, 788, 114, 220) = 2.
Given numbers are 208, 788, 114, 220
The list of prime factors of all numbers are
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 788 are 2 x 2 x 197
Prime factors of 114 are 2 x 3 x 19
Prime factors of 220 are 2 x 2 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 208, 788, 114, 220 is 2.
Given numbers are 208, 788, 114, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(208, 788) = 40976
GCD(208, 788) = ( 208 x 788 ) / 40976
= 208 / 788
= 208
Step2:
LCM(4, 114) = 228
GCD(4, 114) = ( 4 x 114 ) / 228
= 4 / 114
= 4
Step3:
LCM(2, 220) = 220
GCD(2, 220) = ( 2 x 220 ) / 220
= 2 / 220
= 2
So, Greatest Common Divisor of 208, 788, 114, 220 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 208, 788, 114, 220
The greatest common divisor of numbers 208, 788, 114, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 788, 114, 220 is 2.
1. What is the GCD of 208, 788, 114, 220?
GCD of given numbers 208, 788, 114, 220 is 2
2. How to calculate the greatest common divisor of 208, 788, 114, 220?
We can find the highest common divisor of 208, 788, 114, 220 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 208, 788, 114, 220 i.e 2.
3. How can I use the GCD of 208, 788, 114, 220Calculator?
Out the numbers 208, 788, 114, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.