Online GCD Calculator is useful to find the GCD of 471, 534, 507, 321 quickly. Get the easiest ways to solve the greatest common divisor of 471, 534, 507, 321 i.e 3 in different methods as follows.
Given Input numbers are 471, 534, 507, 321
In the factoring method, we have to find the divisors of all numbers
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
Divisors of 534 :
The positive integer divisors of 534 that completely divides 534 are.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
GCD of numbers is the greatest common divisor
So, the GCD (471, 534, 507, 321) = 3.
Given numbers are 471, 534, 507, 321
The list of prime factors of all numbers are
Prime factors of 471 are 3 x 157
Prime factors of 534 are 2 x 3 x 89
Prime factors of 507 are 3 x 13 x 13
Prime factors of 321 are 3 x 107
The highest common occurrence is 31
Therefore, GCD of 471, 534, 507, 321 is 3.
Given numbers are 471, 534, 507, 321
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(471, 534) = 83838
GCD(471, 534) = ( 471 x 534 ) / 83838
= 471 / 534
= 471
Step2:
LCM(3, 507) = 507
GCD(3, 507) = ( 3 x 507 ) / 507
= 3 / 507
= 3
Step3:
LCM(3, 321) = 321
GCD(3, 321) = ( 3 x 321 ) / 321
= 3 / 321
= 3
So, Greatest Common Divisor of 471, 534, 507, 321 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 471, 534, 507, 321
The greatest common divisor of numbers 471, 534, 507, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 534, 507, 321 is 3.
1. What is the GCD of 471, 534, 507, 321?
GCD of given numbers 471, 534, 507, 321 is 3
2. How to calculate the greatest common divisor of 471, 534, 507, 321?
We can find the highest common divisor of 471, 534, 507, 321 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 471, 534, 507, 321 i.e 3.
3. How can I use the GCD of 471, 534, 507, 321Calculator?
Out the numbers 471, 534, 507, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.