Online GCD Calculator is useful to find the GCD of 231, 470, 590, 140 quickly. Get the easiest ways to solve the greatest common divisor of 231, 470, 590, 140 i.e 1 in different methods as follows.
Given Input numbers are 231, 470, 590, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
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 (231, 470, 590, 140) = 1.
Given numbers are 231, 470, 590, 140
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 470 are 2 x 5 x 47
Prime factors of 590 are 2 x 5 x 59
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 231, 470, 590, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 470) = 108570
GCD(231, 470) = ( 231 x 470 ) / 108570
= 231 / 470
= 231
Step2:
LCM(1, 590) = 590
GCD(1, 590) = ( 1 x 590 ) / 590
= 1 / 590
= 1
Step3:
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
= 1 / 140
= 1
So, Greatest Common Divisor of 231, 470, 590, 140 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 470, 590, 140
The greatest common divisor of numbers 231, 470, 590, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 470, 590, 140 is 1.
1. What is the GCD of 231, 470, 590, 140?
GCD of given numbers 231, 470, 590, 140 is 1
2. How to calculate the greatest common divisor of 231, 470, 590, 140?
We can find the highest common divisor of 231, 470, 590, 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 231, 470, 590, 140 i.e 1.
3. How can I use the GCD of 231, 470, 590, 140Calculator?
Out the numbers 231, 470, 590, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.