Online GCD Calculator is useful to find the GCD of 342, 748, 216, 900 quickly. Get the easiest ways to solve the greatest common divisor of 342, 748, 216, 900 i.e 2 in different methods as follows.
Given Input numbers are 342, 748, 216, 900
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 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
GCD of numbers is the greatest common divisor
So, the GCD (342, 748, 216, 900) = 2.
Given numbers are 342, 748, 216, 900
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 342, 748, 216, 900 is 2.
Given numbers are 342, 748, 216, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 748) = 127908
GCD(342, 748) = ( 342 x 748 ) / 127908
= 342 / 748
= 342
Step2:
LCM(2, 216) = 216
GCD(2, 216) = ( 2 x 216 ) / 216
= 2 / 216
= 2
Step3:
LCM(2, 900) = 900
GCD(2, 900) = ( 2 x 900 ) / 900
= 2 / 900
= 2
So, Greatest Common Divisor of 342, 748, 216, 900 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 748, 216, 900
The greatest common divisor of numbers 342, 748, 216, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 748, 216, 900 is 2.
1. What is the GCD of 342, 748, 216, 900?
GCD of given numbers 342, 748, 216, 900 is 2
2. How to calculate the greatest common divisor of 342, 748, 216, 900?
We can find the highest common divisor of 342, 748, 216, 900 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, 748, 216, 900 i.e 2.
3. How can I use the GCD of 342, 748, 216, 900Calculator?
Out the numbers 342, 748, 216, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.