Online GCD Calculator is useful to find the GCD of 675, 755, 834, 689 quickly. Get the easiest ways to solve the greatest common divisor of 675, 755, 834, 689 i.e 1 in different methods as follows.
Given Input numbers are 675, 755, 834, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
GCD of numbers is the greatest common divisor
So, the GCD (675, 755, 834, 689) = 1.
Given numbers are 675, 755, 834, 689
The list of prime factors of all numbers are
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 755 are 5 x 151
Prime factors of 834 are 2 x 3 x 139
Prime factors of 689 are 13 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 675, 755, 834, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(675, 755) = 101925
GCD(675, 755) = ( 675 x 755 ) / 101925
= 675 / 755
= 675
Step2:
LCM(5, 834) = 4170
GCD(5, 834) = ( 5 x 834 ) / 4170
= 5 / 834
= 5
Step3:
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
= 1 / 689
= 1
So, Greatest Common Divisor of 675, 755, 834, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 675, 755, 834, 689
The greatest common divisor of numbers 675, 755, 834, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 755, 834, 689 is 1.
1. What is the GCD of 675, 755, 834, 689?
GCD of given numbers 675, 755, 834, 689 is 1
2. How to calculate the greatest common divisor of 675, 755, 834, 689?
We can find the highest common divisor of 675, 755, 834, 689 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 675, 755, 834, 689 i.e 1.
3. How can I use the GCD of 675, 755, 834, 689Calculator?
Out the numbers 675, 755, 834, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.