Online GCD Calculator is useful to find the GCD of 474, 543, 864, 364 quickly. Get the easiest ways to solve the greatest common divisor of 474, 543, 864, 364 i.e 1 in different methods as follows.
Given Input numbers are 474, 543, 864, 364
In the factoring method, we have to find the divisors of all numbers
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 543 :
The positive integer divisors of 543 that completely divides 543 are.
1, 3, 181, 543
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
GCD of numbers is the greatest common divisor
So, the GCD (474, 543, 864, 364) = 1.
Given numbers are 474, 543, 864, 364
The list of prime factors of all numbers are
Prime factors of 474 are 2 x 3 x 79
Prime factors of 543 are 3 x 181
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 364 are 2 x 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 474, 543, 864, 364
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(474, 543) = 85794
GCD(474, 543) = ( 474 x 543 ) / 85794
= 474 / 543
= 474
Step2:
LCM(3, 864) = 864
GCD(3, 864) = ( 3 x 864 ) / 864
= 3 / 864
= 3
Step3:
LCM(3, 364) = 1092
GCD(3, 364) = ( 3 x 364 ) / 1092
= 3 / 364
= 3
So, Greatest Common Divisor of 474, 543, 864, 364 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 474, 543, 864, 364
The greatest common divisor of numbers 474, 543, 864, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 543, 864, 364 is 1.
1. What is the GCD of 474, 543, 864, 364?
GCD of given numbers 474, 543, 864, 364 is 1
2. How to calculate the greatest common divisor of 474, 543, 864, 364?
We can find the highest common divisor of 474, 543, 864, 364 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 474, 543, 864, 364 i.e 1.
3. How can I use the GCD of 474, 543, 864, 364Calculator?
Out the numbers 474, 543, 864, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.