Online GCD Calculator is useful to find the GCD of 705, 342, 640, 686 quickly. Get the easiest ways to solve the greatest common divisor of 705, 342, 640, 686 i.e 1 in different methods as follows.
Given Input numbers are 705, 342, 640, 686
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 640 :
The positive integer divisors of 640 that completely divides 640 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
GCD of numbers is the greatest common divisor
So, the GCD (705, 342, 640, 686) = 1.
Given numbers are 705, 342, 640, 686
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 686 are 2 x 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 705, 342, 640, 686
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 342) = 80370
GCD(705, 342) = ( 705 x 342 ) / 80370
= 705 / 342
= 705
Step2:
LCM(3, 640) = 1920
GCD(3, 640) = ( 3 x 640 ) / 1920
= 3 / 640
= 3
Step3:
LCM(1, 686) = 686
GCD(1, 686) = ( 1 x 686 ) / 686
= 1 / 686
= 1
So, Greatest Common Divisor of 705, 342, 640, 686 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 705, 342, 640, 686
The greatest common divisor of numbers 705, 342, 640, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 342, 640, 686 is 1.
1. What is the GCD of 705, 342, 640, 686?
GCD of given numbers 705, 342, 640, 686 is 1
2. How to calculate the greatest common divisor of 705, 342, 640, 686?
We can find the highest common divisor of 705, 342, 640, 686 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 705, 342, 640, 686 i.e 1.
3. How can I use the GCD of 705, 342, 640, 686Calculator?
Out the numbers 705, 342, 640, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.