Online GCD Calculator is useful to find the GCD of 342, 978, 349, 269 quickly. Get the easiest ways to solve the greatest common divisor of 342, 978, 349, 269 i.e 1 in different methods as follows.
Given Input numbers are 342, 978, 349, 269
In the factoring method, we have to find the divisors of all numbers
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
Divisors of 269 :
The positive integer divisors of 269 that completely divides 269 are.
1, 269
GCD of numbers is the greatest common divisor
So, the GCD (342, 978, 349, 269) = 1.
Given numbers are 342, 978, 349, 269
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 978 are 2 x 3 x 163
Prime factors of 349 are 349
Prime factors of 269 are 269
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 342, 978, 349, 269
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 978) = 55746
GCD(342, 978) = ( 342 x 978 ) / 55746
= 342 / 978
= 342
Step2:
LCM(6, 349) = 2094
GCD(6, 349) = ( 6 x 349 ) / 2094
= 6 / 349
= 6
Step3:
LCM(1, 269) = 269
GCD(1, 269) = ( 1 x 269 ) / 269
= 1 / 269
= 1
So, Greatest Common Divisor of 342, 978, 349, 269 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 978, 349, 269
The greatest common divisor of numbers 342, 978, 349, 269 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 978, 349, 269 is 1.
1. What is the GCD of 342, 978, 349, 269?
GCD of given numbers 342, 978, 349, 269 is 1
2. How to calculate the greatest common divisor of 342, 978, 349, 269?
We can find the highest common divisor of 342, 978, 349, 269 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 342, 978, 349, 269 i.e 1.
3. How can I use the GCD of 342, 978, 349, 269Calculator?
Out the numbers 342, 978, 349, 269 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.