Online GCD Calculator is useful to find the GCD of 307, 206, 20, 338 quickly. Get the easiest ways to solve the greatest common divisor of 307, 206, 20, 338 i.e 1 in different methods as follows.
Given Input numbers are 307, 206, 20, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 307 :
The positive integer divisors of 307 that completely divides 307 are.
1, 307
Divisors of 206 :
The positive integer divisors of 206 that completely divides 206 are.
1, 2, 103, 206
Divisors of 20 :
The positive integer divisors of 20 that completely divides 20 are.
1, 2, 4, 5, 10, 20
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (307, 206, 20, 338) = 1.
Given numbers are 307, 206, 20, 338
The list of prime factors of all numbers are
Prime factors of 307 are 307
Prime factors of 206 are 2 x 103
Prime factors of 20 are 2 x 2 x 5
Prime factors of 338 are 2 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 307, 206, 20, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(307, 206) = 63242
GCD(307, 206) = ( 307 x 206 ) / 63242
= 307 / 206
= 307
Step2:
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
= 1 / 20
= 1
Step3:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
So, Greatest Common Divisor of 307, 206, 20, 338 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 307, 206, 20, 338
The greatest common divisor of numbers 307, 206, 20, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 307, 206, 20, 338 is 1.
1. What is the GCD of 307, 206, 20, 338?
GCD of given numbers 307, 206, 20, 338 is 1
2. How to calculate the greatest common divisor of 307, 206, 20, 338?
We can find the highest common divisor of 307, 206, 20, 338 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 307, 206, 20, 338 i.e 1.
3. How can I use the GCD of 307, 206, 20, 338Calculator?
Out the numbers 307, 206, 20, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.