Online GCD Calculator is useful to find the GCD of 756, 440, 687, 689 quickly. Get the easiest ways to solve the greatest common divisor of 756, 440, 687, 689 i.e 1 in different methods as follows.
Given Input numbers are 756, 440, 687, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
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 (756, 440, 687, 689) = 1.
Given numbers are 756, 440, 687, 689
The list of prime factors of all numbers are
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 687 are 3 x 229
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 756, 440, 687, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 440) = 83160
GCD(756, 440) = ( 756 x 440 ) / 83160
= 756 / 440
= 756
Step2:
LCM(4, 687) = 2748
GCD(4, 687) = ( 4 x 687 ) / 2748
= 4 / 687
= 4
Step3:
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
= 1 / 689
= 1
So, Greatest Common Divisor of 756, 440, 687, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 440, 687, 689
The greatest common divisor of numbers 756, 440, 687, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 440, 687, 689 is 1.
1. What is the GCD of 756, 440, 687, 689?
GCD of given numbers 756, 440, 687, 689 is 1
2. How to calculate the greatest common divisor of 756, 440, 687, 689?
We can find the highest common divisor of 756, 440, 687, 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 756, 440, 687, 689 i.e 1.
3. How can I use the GCD of 756, 440, 687, 689Calculator?
Out the numbers 756, 440, 687, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.