Online GCD Calculator is useful to find the GCD of 689, 734, 970 quickly. Get the easiest ways to solve the greatest common divisor of 689, 734, 970 i.e 1 in different methods as follows.
Given Input numbers are 689, 734, 970
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 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
GCD of numbers is the greatest common divisor
So, the GCD (689, 734, 970) = 1.
Given numbers are 689, 734, 970
The list of prime factors of all numbers are
Prime factors of 689 are 13 x 53
Prime factors of 734 are 2 x 367
Prime factors of 970 are 2 x 5 x 97
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 689, 734, 970
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(689, 734) = 505726
GCD(689, 734) = ( 689 x 734 ) / 505726
= 689 / 734
= 689
Step2:
LCM(1, 970) = 970
GCD(1, 970) = ( 1 x 970 ) / 970
= 1 / 970
= 1
So, Greatest Common Divisor of 689, 734, 970 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 689, 734, 970
The greatest common divisor of numbers 689, 734, 970 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 734, 970 is 1.
1. What is the GCD of 689, 734, 970?
GCD of given numbers 689, 734, 970 is 1
2. How to calculate the greatest common divisor of 689, 734, 970?
We can find the highest common divisor of 689, 734, 970 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, 734, 970 i.e 1.
3. How can I use the GCD of 689, 734, 970Calculator?
Out the numbers 689, 734, 970 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.