Online GCD Calculator is useful to find the GCD of 724, 231, 412, 140 quickly. Get the easiest ways to solve the greatest common divisor of 724, 231, 412, 140 i.e 1 in different methods as follows.
Given Input numbers are 724, 231, 412, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
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 (724, 231, 412, 140) = 1.
Given numbers are 724, 231, 412, 140
The list of prime factors of all numbers are
Prime factors of 724 are 2 x 2 x 181
Prime factors of 231 are 3 x 7 x 11
Prime factors of 412 are 2 x 2 x 103
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 724, 231, 412, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(724, 231) = 167244
GCD(724, 231) = ( 724 x 231 ) / 167244
= 724 / 231
= 724
Step2:
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
= 1 / 412
= 1
Step3:
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
= 1 / 140
= 1
So, Greatest Common Divisor of 724, 231, 412, 140 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 724, 231, 412, 140
The greatest common divisor of numbers 724, 231, 412, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 231, 412, 140 is 1.
1. What is the GCD of 724, 231, 412, 140?
GCD of given numbers 724, 231, 412, 140 is 1
2. How to calculate the greatest common divisor of 724, 231, 412, 140?
We can find the highest common divisor of 724, 231, 412, 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 724, 231, 412, 140 i.e 1.
3. How can I use the GCD of 724, 231, 412, 140Calculator?
Out the numbers 724, 231, 412, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.