Online GCD Calculator is useful to find the GCD of 348, 338, 764, 612 quickly. Get the easiest ways to solve the greatest common divisor of 348, 338, 764, 612 i.e 2 in different methods as follows.
Given Input numbers are 348, 338, 764, 612
In the factoring method, we have to find the divisors of all numbers
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
GCD of numbers is the greatest common divisor
So, the GCD (348, 338, 764, 612) = 2.
Given numbers are 348, 338, 764, 612
The list of prime factors of all numbers are
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 338 are 2 x 13 x 13
Prime factors of 764 are 2 x 2 x 191
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 348, 338, 764, 612 is 2.
Given numbers are 348, 338, 764, 612
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(348, 338) = 58812
GCD(348, 338) = ( 348 x 338 ) / 58812
= 348 / 338
= 348
Step2:
LCM(2, 764) = 764
GCD(2, 764) = ( 2 x 764 ) / 764
= 2 / 764
= 2
Step3:
LCM(2, 612) = 612
GCD(2, 612) = ( 2 x 612 ) / 612
= 2 / 612
= 2
So, Greatest Common Divisor of 348, 338, 764, 612 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 348, 338, 764, 612
The greatest common divisor of numbers 348, 338, 764, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 338, 764, 612 is 2.
1. What is the GCD of 348, 338, 764, 612?
GCD of given numbers 348, 338, 764, 612 is 2
2. How to calculate the greatest common divisor of 348, 338, 764, 612?
We can find the highest common divisor of 348, 338, 764, 612 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 348, 338, 764, 612 i.e 2.
3. How can I use the GCD of 348, 338, 764, 612Calculator?
Out the numbers 348, 338, 764, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.