Online GCD Calculator is useful to find the GCD of 567, 408, 356, 116 quickly. Get the easiest ways to solve the greatest common divisor of 567, 408, 356, 116 i.e 1 in different methods as follows.
Given Input numbers are 567, 408, 356, 116
In the factoring method, we have to find the divisors of all numbers
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
GCD of numbers is the greatest common divisor
So, the GCD (567, 408, 356, 116) = 1.
Given numbers are 567, 408, 356, 116
The list of prime factors of all numbers are
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 356 are 2 x 2 x 89
Prime factors of 116 are 2 x 2 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 567, 408, 356, 116
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(567, 408) = 77112
GCD(567, 408) = ( 567 x 408 ) / 77112
= 567 / 408
= 567
Step2:
LCM(3, 356) = 1068
GCD(3, 356) = ( 3 x 356 ) / 1068
= 3 / 356
= 3
Step3:
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
= 1 / 116
= 1
So, Greatest Common Divisor of 567, 408, 356, 116 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 567, 408, 356, 116
The greatest common divisor of numbers 567, 408, 356, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 408, 356, 116 is 1.
1. What is the GCD of 567, 408, 356, 116?
GCD of given numbers 567, 408, 356, 116 is 1
2. How to calculate the greatest common divisor of 567, 408, 356, 116?
We can find the highest common divisor of 567, 408, 356, 116 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 567, 408, 356, 116 i.e 1.
3. How can I use the GCD of 567, 408, 356, 116Calculator?
Out the numbers 567, 408, 356, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.