Online GCD Calculator is useful to find the GCD of 170, 560, 137, 494 quickly. Get the easiest ways to solve the greatest common divisor of 170, 560, 137, 494 i.e 1 in different methods as follows.
Given Input numbers are 170, 560, 137, 494
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 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
GCD of numbers is the greatest common divisor
So, the GCD (170, 560, 137, 494) = 1.
Given numbers are 170, 560, 137, 494
The list of prime factors of all numbers are
Prime factors of 170 are 2 x 5 x 17
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 137 are 137
Prime factors of 494 are 2 x 13 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 170, 560, 137, 494
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(170, 560) = 9520
GCD(170, 560) = ( 170 x 560 ) / 9520
= 170 / 560
= 170
Step2:
LCM(10, 137) = 1370
GCD(10, 137) = ( 10 x 137 ) / 1370
= 10 / 137
= 10
Step3:
LCM(1, 494) = 494
GCD(1, 494) = ( 1 x 494 ) / 494
= 1 / 494
= 1
So, Greatest Common Divisor of 170, 560, 137, 494 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 170, 560, 137, 494
The greatest common divisor of numbers 170, 560, 137, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 560, 137, 494 is 1.
1. What is the GCD of 170, 560, 137, 494?
GCD of given numbers 170, 560, 137, 494 is 1
2. How to calculate the greatest common divisor of 170, 560, 137, 494?
We can find the highest common divisor of 170, 560, 137, 494 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, 560, 137, 494 i.e 1.
3. How can I use the GCD of 170, 560, 137, 494Calculator?
Out the numbers 170, 560, 137, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.