Online GCD Calculator is useful to find the GCD of 550, 286, 72, 469 quickly. Get the easiest ways to solve the greatest common divisor of 550, 286, 72, 469 i.e 1 in different methods as follows.
Given Input numbers are 550, 286, 72, 469
In the factoring method, we have to find the divisors of all numbers
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 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 469 :
The positive integer divisors of 469 that completely divides 469 are.
1, 7, 67, 469
GCD of numbers is the greatest common divisor
So, the GCD (550, 286, 72, 469) = 1.
Given numbers are 550, 286, 72, 469
The list of prime factors of all numbers are
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 286 are 2 x 11 x 13
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 469 are 7 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 550, 286, 72, 469
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(550, 286) = 7150
GCD(550, 286) = ( 550 x 286 ) / 7150
= 550 / 286
= 550
Step2:
LCM(22, 72) = 792
GCD(22, 72) = ( 22 x 72 ) / 792
= 22 / 72
= 22
Step3:
LCM(2, 469) = 938
GCD(2, 469) = ( 2 x 469 ) / 938
= 2 / 469
= 2
So, Greatest Common Divisor of 550, 286, 72, 469 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 550, 286, 72, 469
The greatest common divisor of numbers 550, 286, 72, 469 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 286, 72, 469 is 1.
1. What is the GCD of 550, 286, 72, 469?
GCD of given numbers 550, 286, 72, 469 is 1
2. How to calculate the greatest common divisor of 550, 286, 72, 469?
We can find the highest common divisor of 550, 286, 72, 469 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 550, 286, 72, 469 i.e 1.
3. How can I use the GCD of 550, 286, 72, 469Calculator?
Out the numbers 550, 286, 72, 469 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.