Online GCD Calculator is useful to find the GCD of 354, 321, 681 quickly. Get the easiest ways to solve the greatest common divisor of 354, 321, 681 i.e 3 in different methods as follows.
Given Input numbers are 354, 321, 681
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 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 681 :
The positive integer divisors of 681 that completely divides 681 are.
1, 3, 227, 681
GCD of numbers is the greatest common divisor
So, the GCD (354, 321, 681) = 3.
Given numbers are 354, 321, 681
The list of prime factors of all numbers are
Prime factors of 354 are 2 x 3 x 59
Prime factors of 321 are 3 x 107
Prime factors of 681 are 3 x 227
The highest common occurrence is 31
Therefore, GCD of 354, 321, 681 is 3.
Given numbers are 354, 321, 681
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(354, 321) = 37878
GCD(354, 321) = ( 354 x 321 ) / 37878
= 354 / 321
= 354
Step2:
LCM(3, 681) = 681
GCD(3, 681) = ( 3 x 681 ) / 681
= 3 / 681
= 3
So, Greatest Common Divisor of 354, 321, 681 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 354, 321, 681
The greatest common divisor of numbers 354, 321, 681 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 321, 681 is 3.
1. What is the GCD of 354, 321, 681?
GCD of given numbers 354, 321, 681 is 3
2. How to calculate the greatest common divisor of 354, 321, 681?
We can find the highest common divisor of 354, 321, 681 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, 321, 681 i.e 3.
3. How can I use the GCD of 354, 321, 681Calculator?
Out the numbers 354, 321, 681 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.