Online GCD Calculator is useful to find the GCD of 534, 744, 471 quickly. Get the easiest ways to solve the greatest common divisor of 534, 744, 471 i.e 3 in different methods as follows.
Given Input numbers are 534, 744, 471
In the factoring method, we have to find the divisors of all numbers
Divisors of 534 :
The positive integer divisors of 534 that completely divides 534 are.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
GCD of numbers is the greatest common divisor
So, the GCD (534, 744, 471) = 3.
Given numbers are 534, 744, 471
The list of prime factors of all numbers are
Prime factors of 534 are 2 x 3 x 89
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 471 are 3 x 157
The highest common occurrence is 31
Therefore, GCD of 534, 744, 471 is 3.
Given numbers are 534, 744, 471
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(534, 744) = 66216
GCD(534, 744) = ( 534 x 744 ) / 66216
= 534 / 744
= 534
Step2:
LCM(6, 471) = 942
GCD(6, 471) = ( 6 x 471 ) / 942
= 6 / 471
= 6
So, Greatest Common Divisor of 534, 744, 471 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 534, 744, 471
The greatest common divisor of numbers 534, 744, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 534, 744, 471 is 3.
1. What is the GCD of 534, 744, 471?
GCD of given numbers 534, 744, 471 is 3
2. How to calculate the greatest common divisor of 534, 744, 471?
We can find the highest common divisor of 534, 744, 471 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 534, 744, 471 i.e 3.
3. How can I use the GCD of 534, 744, 471Calculator?
Out the numbers 534, 744, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.