Online GCD Calculator is useful to find the GCD of 546, 600, 621, 678 quickly. Get the easiest ways to solve the greatest common divisor of 546, 600, 621, 678 i.e 3 in different methods as follows.
Given Input numbers are 546, 600, 621, 678
In the factoring method, we have to find the divisors of all numbers
Divisors of 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 621 :
The positive integer divisors of 621 that completely divides 621 are.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (546, 600, 621, 678) = 3.
Given numbers are 546, 600, 621, 678
The list of prime factors of all numbers are
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 621 are 3 x 3 x 3 x 23
Prime factors of 678 are 2 x 3 x 113
The highest common occurrence is 31
Therefore, GCD of 546, 600, 621, 678 is 3.
Given numbers are 546, 600, 621, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(546, 600) = 54600
GCD(546, 600) = ( 546 x 600 ) / 54600
= 546 / 600
= 546
Step2:
LCM(6, 621) = 1242
GCD(6, 621) = ( 6 x 621 ) / 1242
= 6 / 621
= 6
Step3:
LCM(3, 678) = 678
GCD(3, 678) = ( 3 x 678 ) / 678
= 3 / 678
= 3
So, Greatest Common Divisor of 546, 600, 621, 678 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 546, 600, 621, 678
The greatest common divisor of numbers 546, 600, 621, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 546, 600, 621, 678 is 3.
1. What is the GCD of 546, 600, 621, 678?
GCD of given numbers 546, 600, 621, 678 is 3
2. How to calculate the greatest common divisor of 546, 600, 621, 678?
We can find the highest common divisor of 546, 600, 621, 678 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 546, 600, 621, 678 i.e 3.
3. How can I use the GCD of 546, 600, 621, 678Calculator?
Out the numbers 546, 600, 621, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.