Online GCD Calculator is useful to find the GCD of 208, 940, 542, 838 quickly. Get the easiest ways to solve the greatest common divisor of 208, 940, 542, 838 i.e 2 in different methods as follows.
Given Input numbers are 208, 940, 542, 838
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 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
GCD of numbers is the greatest common divisor
So, the GCD (208, 940, 542, 838) = 2.
Given numbers are 208, 940, 542, 838
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 940 are 2 x 2 x 5 x 47
Prime factors of 542 are 2 x 271
Prime factors of 838 are 2 x 419
The highest common occurrence is 21
Therefore, GCD of 208, 940, 542, 838 is 2.
Given numbers are 208, 940, 542, 838
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(208, 940) = 48880
GCD(208, 940) = ( 208 x 940 ) / 48880
= 208 / 940
= 208
Step2:
LCM(4, 542) = 1084
GCD(4, 542) = ( 4 x 542 ) / 1084
= 4 / 542
= 4
Step3:
LCM(2, 838) = 838
GCD(2, 838) = ( 2 x 838 ) / 838
= 2 / 838
= 2
So, Greatest Common Divisor of 208, 940, 542, 838 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 208, 940, 542, 838
The greatest common divisor of numbers 208, 940, 542, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 940, 542, 838 is 2.
1. What is the GCD of 208, 940, 542, 838?
GCD of given numbers 208, 940, 542, 838 is 2
2. How to calculate the greatest common divisor of 208, 940, 542, 838?
We can find the highest common divisor of 208, 940, 542, 838 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, 940, 542, 838 i.e 2.
3. How can I use the GCD of 208, 940, 542, 838Calculator?
Out the numbers 208, 940, 542, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.