Online GCD Calculator is useful to find the GCD of 105, 550, 976, 872 quickly. Get the easiest ways to solve the greatest common divisor of 105, 550, 976, 872 i.e 1 in different methods as follows.
Given Input numbers are 105, 550, 976, 872
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
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 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (105, 550, 976, 872) = 1.
Given numbers are 105, 550, 976, 872
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 872 are 2 x 2 x 2 x 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 105, 550, 976, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 550) = 11550
GCD(105, 550) = ( 105 x 550 ) / 11550
= 105 / 550
= 105
Step2:
LCM(5, 976) = 4880
GCD(5, 976) = ( 5 x 976 ) / 4880
= 5 / 976
= 5
Step3:
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
= 1 / 872
= 1
So, Greatest Common Divisor of 105, 550, 976, 872 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 550, 976, 872
The greatest common divisor of numbers 105, 550, 976, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 550, 976, 872 is 1.
1. What is the GCD of 105, 550, 976, 872?
GCD of given numbers 105, 550, 976, 872 is 1
2. How to calculate the greatest common divisor of 105, 550, 976, 872?
We can find the highest common divisor of 105, 550, 976, 872 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 105, 550, 976, 872 i.e 1.
3. How can I use the GCD of 105, 550, 976, 872Calculator?
Out the numbers 105, 550, 976, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.