Online GCD Calculator is useful to find the GCD of 560, 726, 238, 169 quickly. Get the easiest ways to solve the greatest common divisor of 560, 726, 238, 169 i.e 1 in different methods as follows.
Given Input numbers are 560, 726, 238, 169
In the factoring method, we have to find the divisors of all numbers
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 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
GCD of numbers is the greatest common divisor
So, the GCD (560, 726, 238, 169) = 1.
Given numbers are 560, 726, 238, 169
The list of prime factors of all numbers are
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 238 are 2 x 7 x 17
Prime factors of 169 are 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 560, 726, 238, 169
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 726) = 203280
GCD(560, 726) = ( 560 x 726 ) / 203280
= 560 / 726
= 560
Step2:
LCM(2, 238) = 238
GCD(2, 238) = ( 2 x 238 ) / 238
= 2 / 238
= 2
Step3:
LCM(2, 169) = 338
GCD(2, 169) = ( 2 x 169 ) / 338
= 2 / 169
= 2
So, Greatest Common Divisor of 560, 726, 238, 169 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 726, 238, 169
The greatest common divisor of numbers 560, 726, 238, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 726, 238, 169 is 1.
1. What is the GCD of 560, 726, 238, 169?
GCD of given numbers 560, 726, 238, 169 is 1
2. How to calculate the greatest common divisor of 560, 726, 238, 169?
We can find the highest common divisor of 560, 726, 238, 169 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 560, 726, 238, 169 i.e 1.
3. How can I use the GCD of 560, 726, 238, 169Calculator?
Out the numbers 560, 726, 238, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.