Online GCD Calculator is useful to find the GCD of 342, 354, 714, 489 quickly. Get the easiest ways to solve the greatest common divisor of 342, 354, 714, 489 i.e 3 in different methods as follows.
Given Input numbers are 342, 354, 714, 489
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 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
GCD of numbers is the greatest common divisor
So, the GCD (342, 354, 714, 489) = 3.
Given numbers are 342, 354, 714, 489
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 354 are 2 x 3 x 59
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 489 are 3 x 163
The highest common occurrence is 31
Therefore, GCD of 342, 354, 714, 489 is 3.
Given numbers are 342, 354, 714, 489
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 354) = 20178
GCD(342, 354) = ( 342 x 354 ) / 20178
= 342 / 354
= 342
Step2:
LCM(6, 714) = 714
GCD(6, 714) = ( 6 x 714 ) / 714
= 6 / 714
= 6
Step3:
LCM(6, 489) = 978
GCD(6, 489) = ( 6 x 489 ) / 978
= 6 / 489
= 6
So, Greatest Common Divisor of 342, 354, 714, 489 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 354, 714, 489
The greatest common divisor of numbers 342, 354, 714, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 354, 714, 489 is 3.
1. What is the GCD of 342, 354, 714, 489?
GCD of given numbers 342, 354, 714, 489 is 3
2. How to calculate the greatest common divisor of 342, 354, 714, 489?
We can find the highest common divisor of 342, 354, 714, 489 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, 354, 714, 489 i.e 3.
3. How can I use the GCD of 342, 354, 714, 489Calculator?
Out the numbers 342, 354, 714, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.