Online GCD Calculator is useful to find the GCD of 169, 402, 113, 289 quickly. Get the easiest ways to solve the greatest common divisor of 169, 402, 113, 289 i.e 1 in different methods as follows.
Given Input numbers are 169, 402, 113, 289
In the factoring method, we have to find the divisors of all numbers
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 113 :
The positive integer divisors of 113 that completely divides 113 are.
1, 113
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (169, 402, 113, 289) = 1.
Given numbers are 169, 402, 113, 289
The list of prime factors of all numbers are
Prime factors of 169 are 13 x 13
Prime factors of 402 are 2 x 3 x 67
Prime factors of 113 are 113
Prime factors of 289 are 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 169, 402, 113, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(169, 402) = 67938
GCD(169, 402) = ( 169 x 402 ) / 67938
= 169 / 402
= 169
Step2:
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
= 1 / 113
= 1
Step3:
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
= 1 / 289
= 1
So, Greatest Common Divisor of 169, 402, 113, 289 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 169, 402, 113, 289
The greatest common divisor of numbers 169, 402, 113, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 169, 402, 113, 289 is 1.
1. What is the GCD of 169, 402, 113, 289?
GCD of given numbers 169, 402, 113, 289 is 1
2. How to calculate the greatest common divisor of 169, 402, 113, 289?
We can find the highest common divisor of 169, 402, 113, 289 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 169, 402, 113, 289 i.e 1.
3. How can I use the GCD of 169, 402, 113, 289Calculator?
Out the numbers 169, 402, 113, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.