Online GCD Calculator is useful to find the GCD of 704, 892, 854, 471 quickly. Get the easiest ways to solve the greatest common divisor of 704, 892, 854, 471 i.e 1 in different methods as follows.
Given Input numbers are 704, 892, 854, 471
In the factoring method, we have to find the divisors of all numbers
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
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 (704, 892, 854, 471) = 1.
Given numbers are 704, 892, 854, 471
The list of prime factors of all numbers are
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 892 are 2 x 2 x 223
Prime factors of 854 are 2 x 7 x 61
Prime factors of 471 are 3 x 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 704, 892, 854, 471
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(704, 892) = 156992
GCD(704, 892) = ( 704 x 892 ) / 156992
= 704 / 892
= 704
Step2:
LCM(4, 854) = 1708
GCD(4, 854) = ( 4 x 854 ) / 1708
= 4 / 854
= 4
Step3:
LCM(2, 471) = 942
GCD(2, 471) = ( 2 x 471 ) / 942
= 2 / 471
= 2
So, Greatest Common Divisor of 704, 892, 854, 471 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 704, 892, 854, 471
The greatest common divisor of numbers 704, 892, 854, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 892, 854, 471 is 1.
1. What is the GCD of 704, 892, 854, 471?
GCD of given numbers 704, 892, 854, 471 is 1
2. How to calculate the greatest common divisor of 704, 892, 854, 471?
We can find the highest common divisor of 704, 892, 854, 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 704, 892, 854, 471 i.e 1.
3. How can I use the GCD of 704, 892, 854, 471Calculator?
Out the numbers 704, 892, 854, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.