Online GCD Calculator is useful to find the GCD of 550, 646, 112, 743 quickly. Get the easiest ways to solve the greatest common divisor of 550, 646, 112, 743 i.e 1 in different methods as follows.
Given Input numbers are 550, 646, 112, 743
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 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 743 :
The positive integer divisors of 743 that completely divides 743 are.
1, 743
GCD of numbers is the greatest common divisor
So, the GCD (550, 646, 112, 743) = 1.
Given numbers are 550, 646, 112, 743
The list of prime factors of all numbers are
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 646 are 2 x 17 x 19
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 743 are 743
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 550, 646, 112, 743
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(550, 646) = 177650
GCD(550, 646) = ( 550 x 646 ) / 177650
= 550 / 646
= 550
Step2:
LCM(2, 112) = 112
GCD(2, 112) = ( 2 x 112 ) / 112
= 2 / 112
= 2
Step3:
LCM(2, 743) = 1486
GCD(2, 743) = ( 2 x 743 ) / 1486
= 2 / 743
= 2
So, Greatest Common Divisor of 550, 646, 112, 743 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 550, 646, 112, 743
The greatest common divisor of numbers 550, 646, 112, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 646, 112, 743 is 1.
1. What is the GCD of 550, 646, 112, 743?
GCD of given numbers 550, 646, 112, 743 is 1
2. How to calculate the greatest common divisor of 550, 646, 112, 743?
We can find the highest common divisor of 550, 646, 112, 743 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, 646, 112, 743 i.e 1.
3. How can I use the GCD of 550, 646, 112, 743Calculator?
Out the numbers 550, 646, 112, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.