Online GCD Calculator is useful to find the GCD of 550, 115, 475, 680 quickly. Get the easiest ways to solve the greatest common divisor of 550, 115, 475, 680 i.e 5 in different methods as follows.
Given Input numbers are 550, 115, 475, 680
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 115 :
The positive integer divisors of 115 that completely divides 115 are.
1, 5, 23, 115
Divisors of 475 :
The positive integer divisors of 475 that completely divides 475 are.
1, 5, 19, 25, 95, 475
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (550, 115, 475, 680) = 5.
Given numbers are 550, 115, 475, 680
The list of prime factors of all numbers are
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 115 are 5 x 23
Prime factors of 475 are 5 x 5 x 19
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The highest common occurrence is 51
Therefore, GCD of 550, 115, 475, 680 is 5.
Given numbers are 550, 115, 475, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(550, 115) = 12650
GCD(550, 115) = ( 550 x 115 ) / 12650
= 550 / 115
= 550
Step2:
LCM(5, 475) = 475
GCD(5, 475) = ( 5 x 475 ) / 475
= 5 / 475
= 5
Step3:
LCM(5, 680) = 680
GCD(5, 680) = ( 5 x 680 ) / 680
= 5 / 680
= 5
So, Greatest Common Divisor of 550, 115, 475, 680 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 550, 115, 475, 680
The greatest common divisor of numbers 550, 115, 475, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 115, 475, 680 is 5.
1. What is the GCD of 550, 115, 475, 680?
GCD of given numbers 550, 115, 475, 680 is 5
2. How to calculate the greatest common divisor of 550, 115, 475, 680?
We can find the highest common divisor of 550, 115, 475, 680 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, 115, 475, 680 i.e 5.
3. How can I use the GCD of 550, 115, 475, 680Calculator?
Out the numbers 550, 115, 475, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.