Online GCD Calculator is useful to find the GCD of 531, 975, 306, 354 quickly. Get the easiest ways to solve the greatest common divisor of 531, 975, 306, 354 i.e 3 in different methods as follows.
Given Input numbers are 531, 975, 306, 354
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 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
GCD of numbers is the greatest common divisor
So, the GCD (531, 975, 306, 354) = 3.
Given numbers are 531, 975, 306, 354
The list of prime factors of all numbers are
Prime factors of 531 are 3 x 3 x 59
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 354 are 2 x 3 x 59
The highest common occurrence is 31
Therefore, GCD of 531, 975, 306, 354 is 3.
Given numbers are 531, 975, 306, 354
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(531, 975) = 172575
GCD(531, 975) = ( 531 x 975 ) / 172575
= 531 / 975
= 531
Step2:
LCM(3, 306) = 306
GCD(3, 306) = ( 3 x 306 ) / 306
= 3 / 306
= 3
Step3:
LCM(3, 354) = 354
GCD(3, 354) = ( 3 x 354 ) / 354
= 3 / 354
= 3
So, Greatest Common Divisor of 531, 975, 306, 354 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 531, 975, 306, 354
The greatest common divisor of numbers 531, 975, 306, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 531, 975, 306, 354 is 3.
1. What is the GCD of 531, 975, 306, 354?
GCD of given numbers 531, 975, 306, 354 is 3
2. How to calculate the greatest common divisor of 531, 975, 306, 354?
We can find the highest common divisor of 531, 975, 306, 354 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, 975, 306, 354 i.e 3.
3. How can I use the GCD of 531, 975, 306, 354Calculator?
Out the numbers 531, 975, 306, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.