Online GCD Calculator is useful to find the GCD of 734, 452, 342 quickly. Get the easiest ways to solve the greatest common divisor of 734, 452, 342 i.e 2 in different methods as follows.
Given Input numbers are 734, 452, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
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
GCD of numbers is the greatest common divisor
So, the GCD (734, 452, 342) = 2.
Given numbers are 734, 452, 342
The list of prime factors of all numbers are
Prime factors of 734 are 2 x 367
Prime factors of 452 are 2 x 2 x 113
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 734, 452, 342 is 2.
Given numbers are 734, 452, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(734, 452) = 165884
GCD(734, 452) = ( 734 x 452 ) / 165884
= 734 / 452
= 734
Step2:
LCM(2, 342) = 342
GCD(2, 342) = ( 2 x 342 ) / 342
= 2 / 342
= 2
So, Greatest Common Divisor of 734, 452, 342 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 734, 452, 342
The greatest common divisor of numbers 734, 452, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 452, 342 is 2.
1. What is the GCD of 734, 452, 342?
GCD of given numbers 734, 452, 342 is 2
2. How to calculate the greatest common divisor of 734, 452, 342?
We can find the highest common divisor of 734, 452, 342 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 734, 452, 342 i.e 2.
3. How can I use the GCD of 734, 452, 342Calculator?
Out the numbers 734, 452, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.