Online GCD Calculator is useful to find the GCD of 354, 106, 720 quickly. Get the easiest ways to solve the greatest common divisor of 354, 106, 720 i.e 2 in different methods as follows.
Given Input numbers are 354, 106, 720
In the factoring method, we have to find the divisors of all numbers
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
GCD of numbers is the greatest common divisor
So, the GCD (354, 106, 720) = 2.
Given numbers are 354, 106, 720
The list of prime factors of all numbers are
Prime factors of 354 are 2 x 3 x 59
Prime factors of 106 are 2 x 53
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 354, 106, 720 is 2.
Given numbers are 354, 106, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(354, 106) = 18762
GCD(354, 106) = ( 354 x 106 ) / 18762
= 354 / 106
= 354
Step2:
LCM(2, 720) = 720
GCD(2, 720) = ( 2 x 720 ) / 720
= 2 / 720
= 2
So, Greatest Common Divisor of 354, 106, 720 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 354, 106, 720
The greatest common divisor of numbers 354, 106, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 106, 720 is 2.
1. What is the GCD of 354, 106, 720?
GCD of given numbers 354, 106, 720 is 2
2. How to calculate the greatest common divisor of 354, 106, 720?
We can find the highest common divisor of 354, 106, 720 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 354, 106, 720 i.e 2.
3. How can I use the GCD of 354, 106, 720Calculator?
Out the numbers 354, 106, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.