Online GCD Calculator is useful to find the GCD of 170, 357, 442, 640 quickly. Get the easiest ways to solve the greatest common divisor of 170, 357, 442, 640 i.e 1 in different methods as follows.
Given Input numbers are 170, 357, 442, 640
In the factoring method, we have to find the divisors of all numbers
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
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
GCD of numbers is the greatest common divisor
So, the GCD (170, 357, 442, 640) = 1.
Given numbers are 170, 357, 442, 640
The list of prime factors of all numbers are
Prime factors of 170 are 2 x 5 x 17
Prime factors of 357 are 3 x 7 x 17
Prime factors of 442 are 2 x 13 x 17
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 170, 357, 442, 640
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(170, 357) = 3570
GCD(170, 357) = ( 170 x 357 ) / 3570
= 170 / 357
= 170
Step2:
LCM(17, 442) = 442
GCD(17, 442) = ( 17 x 442 ) / 442
= 17 / 442
= 17
Step3:
LCM(17, 640) = 10880
GCD(17, 640) = ( 17 x 640 ) / 10880
= 17 / 640
= 17
So, Greatest Common Divisor of 170, 357, 442, 640 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 170, 357, 442, 640
The greatest common divisor of numbers 170, 357, 442, 640 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 357, 442, 640 is 1.
1. What is the GCD of 170, 357, 442, 640?
GCD of given numbers 170, 357, 442, 640 is 1
2. How to calculate the greatest common divisor of 170, 357, 442, 640?
We can find the highest common divisor of 170, 357, 442, 640 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 170, 357, 442, 640 i.e 1.
3. How can I use the GCD of 170, 357, 442, 640Calculator?
Out the numbers 170, 357, 442, 640 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.