Online GCD Calculator is useful to find the GCD of 137, 172, 235, 728 quickly. Get the easiest ways to solve the greatest common divisor of 137, 172, 235, 728 i.e 1 in different methods as follows.
Given Input numbers are 137, 172, 235, 728
In the factoring method, we have to find the divisors of all numbers
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 235 :
The positive integer divisors of 235 that completely divides 235 are.
1, 5, 47, 235
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
GCD of numbers is the greatest common divisor
So, the GCD (137, 172, 235, 728) = 1.
Given numbers are 137, 172, 235, 728
The list of prime factors of all numbers are
Prime factors of 137 are 137
Prime factors of 172 are 2 x 2 x 43
Prime factors of 235 are 5 x 47
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 137, 172, 235, 728
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(137, 172) = 23564
GCD(137, 172) = ( 137 x 172 ) / 23564
= 137 / 172
= 137
Step2:
LCM(1, 235) = 235
GCD(1, 235) = ( 1 x 235 ) / 235
= 1 / 235
= 1
Step3:
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
= 1 / 728
= 1
So, Greatest Common Divisor of 137, 172, 235, 728 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 137, 172, 235, 728
The greatest common divisor of numbers 137, 172, 235, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 172, 235, 728 is 1.
1. What is the GCD of 137, 172, 235, 728?
GCD of given numbers 137, 172, 235, 728 is 1
2. How to calculate the greatest common divisor of 137, 172, 235, 728?
We can find the highest common divisor of 137, 172, 235, 728 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 137, 172, 235, 728 i.e 1.
3. How can I use the GCD of 137, 172, 235, 728Calculator?
Out the numbers 137, 172, 235, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.