Online GCD Calculator is useful to find the GCD of 246, 978, 720, 321 quickly. Get the easiest ways to solve the greatest common divisor of 246, 978, 720, 321 i.e 3 in different methods as follows.
Given Input numbers are 246, 978, 720, 321
In the factoring method, we have to find the divisors of all numbers
Divisors of 246 :
The positive integer divisors of 246 that completely divides 246 are.
1, 2, 3, 6, 41, 82, 123, 246
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
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
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
GCD of numbers is the greatest common divisor
So, the GCD (246, 978, 720, 321) = 3.
Given numbers are 246, 978, 720, 321
The list of prime factors of all numbers are
Prime factors of 246 are 2 x 3 x 41
Prime factors of 978 are 2 x 3 x 163
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 321 are 3 x 107
The highest common occurrence is 31
Therefore, GCD of 246, 978, 720, 321 is 3.
Given numbers are 246, 978, 720, 321
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(246, 978) = 40098
GCD(246, 978) = ( 246 x 978 ) / 40098
= 246 / 978
= 246
Step2:
LCM(6, 720) = 720
GCD(6, 720) = ( 6 x 720 ) / 720
= 6 / 720
= 6
Step3:
LCM(6, 321) = 642
GCD(6, 321) = ( 6 x 321 ) / 642
= 6 / 321
= 6
So, Greatest Common Divisor of 246, 978, 720, 321 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 246, 978, 720, 321
The greatest common divisor of numbers 246, 978, 720, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 246, 978, 720, 321 is 3.
1. What is the GCD of 246, 978, 720, 321?
GCD of given numbers 246, 978, 720, 321 is 3
2. How to calculate the greatest common divisor of 246, 978, 720, 321?
We can find the highest common divisor of 246, 978, 720, 321 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 246, 978, 720, 321 i.e 3.
3. How can I use the GCD of 246, 978, 720, 321Calculator?
Out the numbers 246, 978, 720, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.