Online GCD Calculator is useful to find the GCD of 731, 291, 589, 140 quickly. Get the easiest ways to solve the greatest common divisor of 731, 291, 589, 140 i.e 1 in different methods as follows.
Given Input numbers are 731, 291, 589, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 291 :
The positive integer divisors of 291 that completely divides 291 are.
1, 3, 97, 291
Divisors of 589 :
The positive integer divisors of 589 that completely divides 589 are.
1, 19, 31, 589
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (731, 291, 589, 140) = 1.
Given numbers are 731, 291, 589, 140
The list of prime factors of all numbers are
Prime factors of 731 are 17 x 43
Prime factors of 291 are 3 x 97
Prime factors of 589 are 19 x 31
Prime factors of 140 are 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 731, 291, 589, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(731, 291) = 212721
GCD(731, 291) = ( 731 x 291 ) / 212721
= 731 / 291
= 731
Step2:
LCM(1, 589) = 589
GCD(1, 589) = ( 1 x 589 ) / 589
= 1 / 589
= 1
Step3:
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
= 1 / 140
= 1
So, Greatest Common Divisor of 731, 291, 589, 140 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 731, 291, 589, 140
The greatest common divisor of numbers 731, 291, 589, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 731, 291, 589, 140 is 1.
1. What is the GCD of 731, 291, 589, 140?
GCD of given numbers 731, 291, 589, 140 is 1
2. How to calculate the greatest common divisor of 731, 291, 589, 140?
We can find the highest common divisor of 731, 291, 589, 140 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 731, 291, 589, 140 i.e 1.
3. How can I use the GCD of 731, 291, 589, 140Calculator?
Out the numbers 731, 291, 589, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.