Online GCD Calculator is useful to find the GCD of 654, 892, 713, 108 quickly. Get the easiest ways to solve the greatest common divisor of 654, 892, 713, 108 i.e 1 in different methods as follows.
Given Input numbers are 654, 892, 713, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
Divisors of 713 :
The positive integer divisors of 713 that completely divides 713 are.
1, 23, 31, 713
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (654, 892, 713, 108) = 1.
Given numbers are 654, 892, 713, 108
The list of prime factors of all numbers are
Prime factors of 654 are 2 x 3 x 109
Prime factors of 892 are 2 x 2 x 223
Prime factors of 713 are 23 x 31
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 654, 892, 713, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(654, 892) = 291684
GCD(654, 892) = ( 654 x 892 ) / 291684
= 654 / 892
= 654
Step2:
LCM(2, 713) = 1426
GCD(2, 713) = ( 2 x 713 ) / 1426
= 2 / 713
= 2
Step3:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
So, Greatest Common Divisor of 654, 892, 713, 108 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 654, 892, 713, 108
The greatest common divisor of numbers 654, 892, 713, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 892, 713, 108 is 1.
1. What is the GCD of 654, 892, 713, 108?
GCD of given numbers 654, 892, 713, 108 is 1
2. How to calculate the greatest common divisor of 654, 892, 713, 108?
We can find the highest common divisor of 654, 892, 713, 108 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 654, 892, 713, 108 i.e 1.
3. How can I use the GCD of 654, 892, 713, 108Calculator?
Out the numbers 654, 892, 713, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.