Online GCD Calculator is useful to find the GCD of 208, 550, 270, 787 quickly. Get the easiest ways to solve the greatest common divisor of 208, 550, 270, 787 i.e 1 in different methods as follows.
Given Input numbers are 208, 550, 270, 787
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 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 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 787 :
The positive integer divisors of 787 that completely divides 787 are.
1, 787
GCD of numbers is the greatest common divisor
So, the GCD (208, 550, 270, 787) = 1.
Given numbers are 208, 550, 270, 787
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 550 are 2 x 5 x 5 x 11
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 787 are 787
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 208, 550, 270, 787
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(208, 550) = 57200
GCD(208, 550) = ( 208 x 550 ) / 57200
= 208 / 550
= 208
Step2:
LCM(2, 270) = 270
GCD(2, 270) = ( 2 x 270 ) / 270
= 2 / 270
= 2
Step3:
LCM(2, 787) = 1574
GCD(2, 787) = ( 2 x 787 ) / 1574
= 2 / 787
= 2
So, Greatest Common Divisor of 208, 550, 270, 787 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 208, 550, 270, 787
The greatest common divisor of numbers 208, 550, 270, 787 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 550, 270, 787 is 1.
1. What is the GCD of 208, 550, 270, 787?
GCD of given numbers 208, 550, 270, 787 is 1
2. How to calculate the greatest common divisor of 208, 550, 270, 787?
We can find the highest common divisor of 208, 550, 270, 787 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, 550, 270, 787 i.e 1.
3. How can I use the GCD of 208, 550, 270, 787Calculator?
Out the numbers 208, 550, 270, 787 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.