Online GCD Calculator is useful to find the GCD of 142, 969, 344, 349 quickly. Get the easiest ways to solve the greatest common divisor of 142, 969, 344, 349 i.e 1 in different methods as follows.
Given Input numbers are 142, 969, 344, 349
In the factoring method, we have to find the divisors of all numbers
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
GCD of numbers is the greatest common divisor
So, the GCD (142, 969, 344, 349) = 1.
Given numbers are 142, 969, 344, 349
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 969 are 3 x 17 x 19
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 349 are 349
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 142, 969, 344, 349
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 969) = 137598
GCD(142, 969) = ( 142 x 969 ) / 137598
= 142 / 969
= 142
Step2:
LCM(1, 344) = 344
GCD(1, 344) = ( 1 x 344 ) / 344
= 1 / 344
= 1
Step3:
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
= 1 / 349
= 1
So, Greatest Common Divisor of 142, 969, 344, 349 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 969, 344, 349
The greatest common divisor of numbers 142, 969, 344, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 969, 344, 349 is 1.
1. What is the GCD of 142, 969, 344, 349?
GCD of given numbers 142, 969, 344, 349 is 1
2. How to calculate the greatest common divisor of 142, 969, 344, 349?
We can find the highest common divisor of 142, 969, 344, 349 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 142, 969, 344, 349 i.e 1.
3. How can I use the GCD of 142, 969, 344, 349Calculator?
Out the numbers 142, 969, 344, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.