Online GCD Calculator is useful to find the GCD of 169, 212, 343, 362 quickly. Get the easiest ways to solve the greatest common divisor of 169, 212, 343, 362 i.e 1 in different methods as follows.
Given Input numbers are 169, 212, 343, 362
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 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
GCD of numbers is the greatest common divisor
So, the GCD (169, 212, 343, 362) = 1.
Given numbers are 169, 212, 343, 362
The list of prime factors of all numbers are
Prime factors of 169 are 13 x 13
Prime factors of 212 are 2 x 2 x 53
Prime factors of 343 are 7 x 7 x 7
Prime factors of 362 are 2 x 181
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 169, 212, 343, 362
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(169, 212) = 35828
GCD(169, 212) = ( 169 x 212 ) / 35828
= 169 / 212
= 169
Step2:
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
= 1 / 343
= 1
Step3:
LCM(1, 362) = 362
GCD(1, 362) = ( 1 x 362 ) / 362
= 1 / 362
= 1
So, Greatest Common Divisor of 169, 212, 343, 362 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 169, 212, 343, 362
The greatest common divisor of numbers 169, 212, 343, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 169, 212, 343, 362 is 1.
1. What is the GCD of 169, 212, 343, 362?
GCD of given numbers 169, 212, 343, 362 is 1
2. How to calculate the greatest common divisor of 169, 212, 343, 362?
We can find the highest common divisor of 169, 212, 343, 362 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, 212, 343, 362 i.e 1.
3. How can I use the GCD of 169, 212, 343, 362Calculator?
Out the numbers 169, 212, 343, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.