Online GCD Calculator is useful to find the GCD of 100, 143, 872, 229 quickly. Get the easiest ways to solve the greatest common divisor of 100, 143, 872, 229 i.e 1 in different methods as follows.
Given Input numbers are 100, 143, 872, 229
In the factoring method, we have to find the divisors of all numbers
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 229 :
The positive integer divisors of 229 that completely divides 229 are.
1, 229
GCD of numbers is the greatest common divisor
So, the GCD (100, 143, 872, 229) = 1.
Given numbers are 100, 143, 872, 229
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 143 are 11 x 13
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 229 are 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 143, 872, 229
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 143) = 14300
GCD(100, 143) = ( 100 x 143 ) / 14300
= 100 / 143
= 100
Step2:
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
= 1 / 872
= 1
Step3:
LCM(1, 229) = 229
GCD(1, 229) = ( 1 x 229 ) / 229
= 1 / 229
= 1
So, Greatest Common Divisor of 100, 143, 872, 229 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 143, 872, 229
The greatest common divisor of numbers 100, 143, 872, 229 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 143, 872, 229 is 1.
1. What is the GCD of 100, 143, 872, 229?
GCD of given numbers 100, 143, 872, 229 is 1
2. How to calculate the greatest common divisor of 100, 143, 872, 229?
We can find the highest common divisor of 100, 143, 872, 229 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 100, 143, 872, 229 i.e 1.
3. How can I use the GCD of 100, 143, 872, 229Calculator?
Out the numbers 100, 143, 872, 229 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.