Online GCD Calculator is useful to find the GCD of 531, 742, 691, 312 quickly. Get the easiest ways to solve the greatest common divisor of 531, 742, 691, 312 i.e 1 in different methods as follows.
Given Input numbers are 531, 742, 691, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 531 :
The positive integer divisors of 531 that completely divides 531 are.
1, 3, 9, 59, 177, 531
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 691 :
The positive integer divisors of 691 that completely divides 691 are.
1, 691
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (531, 742, 691, 312) = 1.
Given numbers are 531, 742, 691, 312
The list of prime factors of all numbers are
Prime factors of 531 are 3 x 3 x 59
Prime factors of 742 are 2 x 7 x 53
Prime factors of 691 are 691
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 531, 742, 691, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(531, 742) = 394002
GCD(531, 742) = ( 531 x 742 ) / 394002
= 531 / 742
= 531
Step2:
LCM(1, 691) = 691
GCD(1, 691) = ( 1 x 691 ) / 691
= 1 / 691
= 1
Step3:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
So, Greatest Common Divisor of 531, 742, 691, 312 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 531, 742, 691, 312
The greatest common divisor of numbers 531, 742, 691, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 531, 742, 691, 312 is 1.
1. What is the GCD of 531, 742, 691, 312?
GCD of given numbers 531, 742, 691, 312 is 1
2. How to calculate the greatest common divisor of 531, 742, 691, 312?
We can find the highest common divisor of 531, 742, 691, 312 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 531, 742, 691, 312 i.e 1.
3. How can I use the GCD of 531, 742, 691, 312Calculator?
Out the numbers 531, 742, 691, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.