Online GCD Calculator is useful to find the GCD of 342, 718, 300, 374 quickly. Get the easiest ways to solve the greatest common divisor of 342, 718, 300, 374 i.e 2 in different methods as follows.
Given Input numbers are 342, 718, 300, 374
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 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
GCD of numbers is the greatest common divisor
So, the GCD (342, 718, 300, 374) = 2.
Given numbers are 342, 718, 300, 374
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 718 are 2 x 359
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 374 are 2 x 11 x 17
The highest common occurrence is 21
Therefore, GCD of 342, 718, 300, 374 is 2.
Given numbers are 342, 718, 300, 374
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 718) = 122778
GCD(342, 718) = ( 342 x 718 ) / 122778
= 342 / 718
= 342
Step2:
LCM(2, 300) = 300
GCD(2, 300) = ( 2 x 300 ) / 300
= 2 / 300
= 2
Step3:
LCM(2, 374) = 374
GCD(2, 374) = ( 2 x 374 ) / 374
= 2 / 374
= 2
So, Greatest Common Divisor of 342, 718, 300, 374 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 718, 300, 374
The greatest common divisor of numbers 342, 718, 300, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 718, 300, 374 is 2.
1. What is the GCD of 342, 718, 300, 374?
GCD of given numbers 342, 718, 300, 374 is 2
2. How to calculate the greatest common divisor of 342, 718, 300, 374?
We can find the highest common divisor of 342, 718, 300, 374 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, 718, 300, 374 i.e 2.
3. How can I use the GCD of 342, 718, 300, 374Calculator?
Out the numbers 342, 718, 300, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.