Online GCD Calculator is useful to find the GCD of 297, 531, 561, 534 quickly. Get the easiest ways to solve the greatest common divisor of 297, 531, 561, 534 i.e 3 in different methods as follows.
Given Input numbers are 297, 531, 561, 534
In the factoring method, we have to find the divisors of all numbers
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 531 :
The positive integer divisors of 531 that completely divides 531 are.
1, 3, 9, 59, 177, 531
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 534 :
The positive integer divisors of 534 that completely divides 534 are.
1, 2, 3, 6, 89, 178, 267, 534
GCD of numbers is the greatest common divisor
So, the GCD (297, 531, 561, 534) = 3.
Given numbers are 297, 531, 561, 534
The list of prime factors of all numbers are
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 531 are 3 x 3 x 59
Prime factors of 561 are 3 x 11 x 17
Prime factors of 534 are 2 x 3 x 89
The highest common occurrence is 31
Therefore, GCD of 297, 531, 561, 534 is 3.
Given numbers are 297, 531, 561, 534
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(297, 531) = 17523
GCD(297, 531) = ( 297 x 531 ) / 17523
= 297 / 531
= 297
Step2:
LCM(9, 561) = 1683
GCD(9, 561) = ( 9 x 561 ) / 1683
= 9 / 561
= 9
Step3:
LCM(3, 534) = 534
GCD(3, 534) = ( 3 x 534 ) / 534
= 3 / 534
= 3
So, Greatest Common Divisor of 297, 531, 561, 534 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 297, 531, 561, 534
The greatest common divisor of numbers 297, 531, 561, 534 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 531, 561, 534 is 3.
1. What is the GCD of 297, 531, 561, 534?
GCD of given numbers 297, 531, 561, 534 is 3
2. How to calculate the greatest common divisor of 297, 531, 561, 534?
We can find the highest common divisor of 297, 531, 561, 534 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 297, 531, 561, 534 i.e 3.
3. How can I use the GCD of 297, 531, 561, 534Calculator?
Out the numbers 297, 531, 561, 534 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.