Online GCD Calculator is useful to find the GCD of 696, 160, 169, 586 quickly. Get the easiest ways to solve the greatest common divisor of 696, 160, 169, 586 i.e 1 in different methods as follows.
Given Input numbers are 696, 160, 169, 586
In the factoring method, we have to find the divisors of all numbers
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
Divisors of 586 :
The positive integer divisors of 586 that completely divides 586 are.
1, 2, 293, 586
GCD of numbers is the greatest common divisor
So, the GCD (696, 160, 169, 586) = 1.
Given numbers are 696, 160, 169, 586
The list of prime factors of all numbers are
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 169 are 13 x 13
Prime factors of 586 are 2 x 293
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 696, 160, 169, 586
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(696, 160) = 13920
GCD(696, 160) = ( 696 x 160 ) / 13920
= 696 / 160
= 696
Step2:
LCM(8, 169) = 1352
GCD(8, 169) = ( 8 x 169 ) / 1352
= 8 / 169
= 8
Step3:
LCM(1, 586) = 586
GCD(1, 586) = ( 1 x 586 ) / 586
= 1 / 586
= 1
So, Greatest Common Divisor of 696, 160, 169, 586 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 696, 160, 169, 586
The greatest common divisor of numbers 696, 160, 169, 586 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 160, 169, 586 is 1.
1. What is the GCD of 696, 160, 169, 586?
GCD of given numbers 696, 160, 169, 586 is 1
2. How to calculate the greatest common divisor of 696, 160, 169, 586?
We can find the highest common divisor of 696, 160, 169, 586 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 696, 160, 169, 586 i.e 1.
3. How can I use the GCD of 696, 160, 169, 586Calculator?
Out the numbers 696, 160, 169, 586 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.