Online GCD Calculator is useful to find the GCD of 857, 320, 945, 342 quickly. Get the easiest ways to solve the greatest common divisor of 857, 320, 945, 342 i.e 1 in different methods as follows.
Given Input numbers are 857, 320, 945, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 857 :
The positive integer divisors of 857 that completely divides 857 are.
1, 857
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
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
GCD of numbers is the greatest common divisor
So, the GCD (857, 320, 945, 342) = 1.
Given numbers are 857, 320, 945, 342
The list of prime factors of all numbers are
Prime factors of 857 are 857
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 342 are 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 857, 320, 945, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(857, 320) = 274240
GCD(857, 320) = ( 857 x 320 ) / 274240
= 857 / 320
= 857
Step2:
LCM(1, 945) = 945
GCD(1, 945) = ( 1 x 945 ) / 945
= 1 / 945
= 1
Step3:
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
= 1 / 342
= 1
So, Greatest Common Divisor of 857, 320, 945, 342 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 857, 320, 945, 342
The greatest common divisor of numbers 857, 320, 945, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 857, 320, 945, 342 is 1.
1. What is the GCD of 857, 320, 945, 342?
GCD of given numbers 857, 320, 945, 342 is 1
2. How to calculate the greatest common divisor of 857, 320, 945, 342?
We can find the highest common divisor of 857, 320, 945, 342 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 857, 320, 945, 342 i.e 1.
3. How can I use the GCD of 857, 320, 945, 342Calculator?
Out the numbers 857, 320, 945, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.