Online GCD Calculator is useful to find the GCD of 221, 138, 501, 112 quickly. Get the easiest ways to solve the greatest common divisor of 221, 138, 501, 112 i.e 1 in different methods as follows.
Given Input numbers are 221, 138, 501, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 501 :
The positive integer divisors of 501 that completely divides 501 are.
1, 3, 167, 501
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (221, 138, 501, 112) = 1.
Given numbers are 221, 138, 501, 112
The list of prime factors of all numbers are
Prime factors of 221 are 13 x 17
Prime factors of 138 are 2 x 3 x 23
Prime factors of 501 are 3 x 167
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 221, 138, 501, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(221, 138) = 30498
GCD(221, 138) = ( 221 x 138 ) / 30498
= 221 / 138
= 221
Step2:
LCM(1, 501) = 501
GCD(1, 501) = ( 1 x 501 ) / 501
= 1 / 501
= 1
Step3:
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
= 1 / 112
= 1
So, Greatest Common Divisor of 221, 138, 501, 112 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 221, 138, 501, 112
The greatest common divisor of numbers 221, 138, 501, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 221, 138, 501, 112 is 1.
1. What is the GCD of 221, 138, 501, 112?
GCD of given numbers 221, 138, 501, 112 is 1
2. How to calculate the greatest common divisor of 221, 138, 501, 112?
We can find the highest common divisor of 221, 138, 501, 112 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 221, 138, 501, 112 i.e 1.
3. How can I use the GCD of 221, 138, 501, 112Calculator?
Out the numbers 221, 138, 501, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.