Online GCD Calculator is useful to find the GCD of 688, 165, 584, 992 quickly. Get the easiest ways to solve the greatest common divisor of 688, 165, 584, 992 i.e 1 in different methods as follows.
Given Input numbers are 688, 165, 584, 992
In the factoring method, we have to find the divisors of all numbers
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
GCD of numbers is the greatest common divisor
So, the GCD (688, 165, 584, 992) = 1.
Given numbers are 688, 165, 584, 992
The list of prime factors of all numbers are
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 165 are 3 x 5 x 11
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 688, 165, 584, 992
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(688, 165) = 113520
GCD(688, 165) = ( 688 x 165 ) / 113520
= 688 / 165
= 688
Step2:
LCM(1, 584) = 584
GCD(1, 584) = ( 1 x 584 ) / 584
= 1 / 584
= 1
Step3:
LCM(1, 992) = 992
GCD(1, 992) = ( 1 x 992 ) / 992
= 1 / 992
= 1
So, Greatest Common Divisor of 688, 165, 584, 992 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 688, 165, 584, 992
The greatest common divisor of numbers 688, 165, 584, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 165, 584, 992 is 1.
1. What is the GCD of 688, 165, 584, 992?
GCD of given numbers 688, 165, 584, 992 is 1
2. How to calculate the greatest common divisor of 688, 165, 584, 992?
We can find the highest common divisor of 688, 165, 584, 992 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 688, 165, 584, 992 i.e 1.
3. How can I use the GCD of 688, 165, 584, 992Calculator?
Out the numbers 688, 165, 584, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.