Online GCD Calculator is useful to find the GCD of 356, 550, 986, 208 quickly. Get the easiest ways to solve the greatest common divisor of 356, 550, 986, 208 i.e 2 in different methods as follows.
Given Input numbers are 356, 550, 986, 208
In the factoring method, we have to find the divisors of all numbers
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
GCD of numbers is the greatest common divisor
So, the GCD (356, 550, 986, 208) = 2.
Given numbers are 356, 550, 986, 208
The list of prime factors of all numbers are
Prime factors of 356 are 2 x 2 x 89
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 986 are 2 x 17 x 29
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
The highest common occurrence is 21
Therefore, GCD of 356, 550, 986, 208 is 2.
Given numbers are 356, 550, 986, 208
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(356, 550) = 97900
GCD(356, 550) = ( 356 x 550 ) / 97900
= 356 / 550
= 356
Step2:
LCM(2, 986) = 986
GCD(2, 986) = ( 2 x 986 ) / 986
= 2 / 986
= 2
Step3:
LCM(2, 208) = 208
GCD(2, 208) = ( 2 x 208 ) / 208
= 2 / 208
= 2
So, Greatest Common Divisor of 356, 550, 986, 208 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 356, 550, 986, 208
The greatest common divisor of numbers 356, 550, 986, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 550, 986, 208 is 2.
1. What is the GCD of 356, 550, 986, 208?
GCD of given numbers 356, 550, 986, 208 is 2
2. How to calculate the greatest common divisor of 356, 550, 986, 208?
We can find the highest common divisor of 356, 550, 986, 208 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 356, 550, 986, 208 i.e 2.
3. How can I use the GCD of 356, 550, 986, 208Calculator?
Out the numbers 356, 550, 986, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.