Online GCD Calculator is useful to find the GCD of 685, 341, 420 quickly. Get the easiest ways to solve the greatest common divisor of 685, 341, 420 i.e 1 in different methods as follows.
Given Input numbers are 685, 341, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 685 :
The positive integer divisors of 685 that completely divides 685 are.
1, 5, 137, 685
Divisors of 341 :
The positive integer divisors of 341 that completely divides 341 are.
1, 11, 31, 341
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (685, 341, 420) = 1.
Given numbers are 685, 341, 420
The list of prime factors of all numbers are
Prime factors of 685 are 5 x 137
Prime factors of 341 are 11 x 31
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 685, 341, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(685, 341) = 233585
GCD(685, 341) = ( 685 x 341 ) / 233585
= 685 / 341
= 685
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 685, 341, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 685, 341, 420
The greatest common divisor of numbers 685, 341, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 685, 341, 420 is 1.
1. What is the GCD of 685, 341, 420?
GCD of given numbers 685, 341, 420 is 1
2. How to calculate the greatest common divisor of 685, 341, 420?
We can find the highest common divisor of 685, 341, 420 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 685, 341, 420 i.e 1.
3. How can I use the GCD of 685, 341, 420Calculator?
Out the numbers 685, 341, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.