Online GCD Calculator is useful to find the GCD of 169, 143, 338 quickly. Get the easiest ways to solve the greatest common divisor of 169, 143, 338 i.e 13 in different methods as follows.
Given Input numbers are 169, 143, 338
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 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (169, 143, 338) = 13.
Given numbers are 169, 143, 338
The list of prime factors of all numbers are
Prime factors of 169 are 13 x 13
Prime factors of 143 are 11 x 13
Prime factors of 338 are 2 x 13 x 13
The highest common occurrence is 131
Therefore, GCD of 169, 143, 338 is 13.
Given numbers are 169, 143, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(169, 143) = 1859
GCD(169, 143) = ( 169 x 143 ) / 1859
= 169 / 143
= 169
Step2:
LCM(13, 338) = 338
GCD(13, 338) = ( 13 x 338 ) / 338
= 13 / 338
= 13
So, Greatest Common Divisor of 169, 143, 338 is 13
Here are some samples of GCD of Numbers calculations.
Given numbers are 169, 143, 338
The greatest common divisor of numbers 169, 143, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 169, 143, 338 is 13.
1. What is the GCD of 169, 143, 338?
GCD of given numbers 169, 143, 338 is 13
2. How to calculate the greatest common divisor of 169, 143, 338?
We can find the highest common divisor of 169, 143, 338 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, 143, 338 i.e 13.
3. How can I use the GCD of 169, 143, 338Calculator?
Out the numbers 169, 143, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.