Online GCD Calculator is useful to find the GCD of 240, 112, 685, 689 quickly. Get the easiest ways to solve the greatest common divisor of 240, 112, 685, 689 i.e 1 in different methods as follows.
Given Input numbers are 240, 112, 685, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 685 :
The positive integer divisors of 685 that completely divides 685 are.
1, 5, 137, 685
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 (240, 112, 685, 689) = 1.
Given numbers are 240, 112, 685, 689
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 685 are 5 x 137
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 240, 112, 685, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 112) = 1680
GCD(240, 112) = ( 240 x 112 ) / 1680
= 240 / 112
= 240
Step2:
LCM(16, 685) = 10960
GCD(16, 685) = ( 16 x 685 ) / 10960
= 16 / 685
= 16
Step3:
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
= 1 / 689
= 1
So, Greatest Common Divisor of 240, 112, 685, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 112, 685, 689
The greatest common divisor of numbers 240, 112, 685, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 112, 685, 689 is 1.
1. What is the GCD of 240, 112, 685, 689?
GCD of given numbers 240, 112, 685, 689 is 1
2. How to calculate the greatest common divisor of 240, 112, 685, 689?
We can find the highest common divisor of 240, 112, 685, 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 240, 112, 685, 689 i.e 1.
3. How can I use the GCD of 240, 112, 685, 689Calculator?
Out the numbers 240, 112, 685, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.