Online GCD Calculator is useful to find the GCD of 518, 567, 122, 100 quickly. Get the easiest ways to solve the greatest common divisor of 518, 567, 122, 100 i.e 1 in different methods as follows.
Given Input numbers are 518, 567, 122, 100
In the factoring method, we have to find the divisors of all numbers
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (518, 567, 122, 100) = 1.
Given numbers are 518, 567, 122, 100
The list of prime factors of all numbers are
Prime factors of 518 are 2 x 7 x 37
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 122 are 2 x 61
Prime factors of 100 are 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 518, 567, 122, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(518, 567) = 41958
GCD(518, 567) = ( 518 x 567 ) / 41958
= 518 / 567
= 518
Step2:
LCM(7, 122) = 854
GCD(7, 122) = ( 7 x 122 ) / 854
= 7 / 122
= 7
Step3:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
So, Greatest Common Divisor of 518, 567, 122, 100 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 518, 567, 122, 100
The greatest common divisor of numbers 518, 567, 122, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 518, 567, 122, 100 is 1.
1. What is the GCD of 518, 567, 122, 100?
GCD of given numbers 518, 567, 122, 100 is 1
2. How to calculate the greatest common divisor of 518, 567, 122, 100?
We can find the highest common divisor of 518, 567, 122, 100 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 518, 567, 122, 100 i.e 1.
3. How can I use the GCD of 518, 567, 122, 100Calculator?
Out the numbers 518, 567, 122, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.