Online GCD Calculator is useful to find the GCD of 531, 963, 453, 117 quickly. Get the easiest ways to solve the greatest common divisor of 531, 963, 453, 117 i.e 3 in different methods as follows.
Given Input numbers are 531, 963, 453, 117
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 963 :
The positive integer divisors of 963 that completely divides 963 are.
1, 3, 9, 107, 321, 963
Divisors of 453 :
The positive integer divisors of 453 that completely divides 453 are.
1, 3, 151, 453
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
GCD of numbers is the greatest common divisor
So, the GCD (531, 963, 453, 117) = 3.
Given numbers are 531, 963, 453, 117
The list of prime factors of all numbers are
Prime factors of 531 are 3 x 3 x 59
Prime factors of 963 are 3 x 3 x 107
Prime factors of 453 are 3 x 151
Prime factors of 117 are 3 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 531, 963, 453, 117 is 3.
Given numbers are 531, 963, 453, 117
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(531, 963) = 56817
GCD(531, 963) = ( 531 x 963 ) / 56817
= 531 / 963
= 531
Step2:
LCM(9, 453) = 1359
GCD(9, 453) = ( 9 x 453 ) / 1359
= 9 / 453
= 9
Step3:
LCM(3, 117) = 117
GCD(3, 117) = ( 3 x 117 ) / 117
= 3 / 117
= 3
So, Greatest Common Divisor of 531, 963, 453, 117 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 531, 963, 453, 117
The greatest common divisor of numbers 531, 963, 453, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 531, 963, 453, 117 is 3.
1. What is the GCD of 531, 963, 453, 117?
GCD of given numbers 531, 963, 453, 117 is 3
2. How to calculate the greatest common divisor of 531, 963, 453, 117?
We can find the highest common divisor of 531, 963, 453, 117 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, 963, 453, 117 i.e 3.
3. How can I use the GCD of 531, 963, 453, 117Calculator?
Out the numbers 531, 963, 453, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.