Online GCD Calculator is useful to find the GCD of 834, 360, 552, 471 quickly. Get the easiest ways to solve the greatest common divisor of 834, 360, 552, 471 i.e 3 in different methods as follows.
Given Input numbers are 834, 360, 552, 471
In the factoring method, we have to find the divisors of all numbers
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
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 (834, 360, 552, 471) = 3.
Given numbers are 834, 360, 552, 471
The list of prime factors of all numbers are
Prime factors of 834 are 2 x 3 x 139
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 471 are 3 x 157
The highest common occurrence is 31
Therefore, GCD of 834, 360, 552, 471 is 3.
Given numbers are 834, 360, 552, 471
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(834, 360) = 50040
GCD(834, 360) = ( 834 x 360 ) / 50040
= 834 / 360
= 834
Step2:
LCM(6, 552) = 552
GCD(6, 552) = ( 6 x 552 ) / 552
= 6 / 552
= 6
Step3:
LCM(6, 471) = 942
GCD(6, 471) = ( 6 x 471 ) / 942
= 6 / 471
= 6
So, Greatest Common Divisor of 834, 360, 552, 471 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 834, 360, 552, 471
The greatest common divisor of numbers 834, 360, 552, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 360, 552, 471 is 3.
1. What is the GCD of 834, 360, 552, 471?
GCD of given numbers 834, 360, 552, 471 is 3
2. How to calculate the greatest common divisor of 834, 360, 552, 471?
We can find the highest common divisor of 834, 360, 552, 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 834, 360, 552, 471 i.e 3.
3. How can I use the GCD of 834, 360, 552, 471Calculator?
Out the numbers 834, 360, 552, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.