Online GCD Calculator is useful to find the GCD of 44, 34, 59, 31 quickly. Get the easiest ways to solve the greatest common divisor of 44, 34, 59, 31 i.e 1 in different methods as follows.
Given Input numbers are 44, 34, 59, 31
In the factoring method, we have to find the divisors of all numbers
Divisors of 44 :
The positive integer divisors of 44 that completely divides 44 are.
1, 2, 4, 11, 22, 44
Divisors of 34 :
The positive integer divisors of 34 that completely divides 34 are.
1, 2, 17, 34
Divisors of 59 :
The positive integer divisors of 59 that completely divides 59 are.
1, 59
Divisors of 31 :
The positive integer divisors of 31 that completely divides 31 are.
1, 31
GCD of numbers is the greatest common divisor
So, the GCD (44, 34, 59, 31) = 1.
Given numbers are 44, 34, 59, 31
The list of prime factors of all numbers are
Prime factors of 44 are 2 x 2 x 11
Prime factors of 34 are 2 x 17
Prime factors of 59 are 59
Prime factors of 31 are 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 44, 34, 59, 31
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(44, 34) = 748
GCD(44, 34) = ( 44 x 34 ) / 748
= 44 / 34
= 44
Step2:
LCM(2, 59) = 118
GCD(2, 59) = ( 2 x 59 ) / 118
= 2 / 59
= 2
Step3:
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
= 1 / 31
= 1
So, Greatest Common Divisor of 44, 34, 59, 31 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 44, 34, 59, 31
The greatest common divisor of numbers 44, 34, 59, 31 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 44, 34, 59, 31 is 1.
1. What is the GCD of 44, 34, 59, 31?
GCD of given numbers 44, 34, 59, 31 is 1
2. How to calculate the greatest common divisor of 44, 34, 59, 31?
We can find the highest common divisor of 44, 34, 59, 31 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 44, 34, 59, 31 i.e 1.
3. How can I use the GCD of 44, 34, 59, 31Calculator?
Out the numbers 44, 34, 59, 31 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.