Online GCD Calculator is useful to find the GCD of 470, 378, 343, 855 quickly. Get the easiest ways to solve the greatest common divisor of 470, 378, 343, 855 i.e 1 in different methods as follows.
Given Input numbers are 470, 378, 343, 855
In the factoring method, we have to find the divisors of all numbers
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
GCD of numbers is the greatest common divisor
So, the GCD (470, 378, 343, 855) = 1.
Given numbers are 470, 378, 343, 855
The list of prime factors of all numbers are
Prime factors of 470 are 2 x 5 x 47
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 343 are 7 x 7 x 7
Prime factors of 855 are 3 x 3 x 5 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 470, 378, 343, 855
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(470, 378) = 88830
GCD(470, 378) = ( 470 x 378 ) / 88830
= 470 / 378
= 470
Step2:
LCM(2, 343) = 686
GCD(2, 343) = ( 2 x 343 ) / 686
= 2 / 343
= 2
Step3:
LCM(1, 855) = 855
GCD(1, 855) = ( 1 x 855 ) / 855
= 1 / 855
= 1
So, Greatest Common Divisor of 470, 378, 343, 855 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 470, 378, 343, 855
The greatest common divisor of numbers 470, 378, 343, 855 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 378, 343, 855 is 1.
1. What is the GCD of 470, 378, 343, 855?
GCD of given numbers 470, 378, 343, 855 is 1
2. How to calculate the greatest common divisor of 470, 378, 343, 855?
We can find the highest common divisor of 470, 378, 343, 855 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 470, 378, 343, 855 i.e 1.
3. How can I use the GCD of 470, 378, 343, 855Calculator?
Out the numbers 470, 378, 343, 855 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.