Online GCD Calculator is useful to find the GCD of 689, 972, 312, 110 quickly. Get the easiest ways to solve the greatest common divisor of 689, 972, 312, 110 i.e 1 in different methods as follows.
Given Input numbers are 689, 972, 312, 110
In the factoring method, we have to find the divisors of all numbers
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
GCD of numbers is the greatest common divisor
So, the GCD (689, 972, 312, 110) = 1.
Given numbers are 689, 972, 312, 110
The list of prime factors of all numbers are
Prime factors of 689 are 13 x 53
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 110 are 2 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 689, 972, 312, 110
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(689, 972) = 669708
GCD(689, 972) = ( 689 x 972 ) / 669708
= 689 / 972
= 689
Step2:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
Step3:
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
= 1 / 110
= 1
So, Greatest Common Divisor of 689, 972, 312, 110 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 689, 972, 312, 110
The greatest common divisor of numbers 689, 972, 312, 110 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 972, 312, 110 is 1.
1. What is the GCD of 689, 972, 312, 110?
GCD of given numbers 689, 972, 312, 110 is 1
2. How to calculate the greatest common divisor of 689, 972, 312, 110?
We can find the highest common divisor of 689, 972, 312, 110 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 689, 972, 312, 110 i.e 1.
3. How can I use the GCD of 689, 972, 312, 110Calculator?
Out the numbers 689, 972, 312, 110 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.