Online GCD Calculator is useful to find the GCD of 669, 420, 621, 543 quickly. Get the easiest ways to solve the greatest common divisor of 669, 420, 621, 543 i.e 3 in different methods as follows.
Given Input numbers are 669, 420, 621, 543
In the factoring method, we have to find the divisors of all numbers
Divisors of 669 :
The positive integer divisors of 669 that completely divides 669 are.
1, 3, 223, 669
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 621 :
The positive integer divisors of 621 that completely divides 621 are.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 543 :
The positive integer divisors of 543 that completely divides 543 are.
1, 3, 181, 543
GCD of numbers is the greatest common divisor
So, the GCD (669, 420, 621, 543) = 3.
Given numbers are 669, 420, 621, 543
The list of prime factors of all numbers are
Prime factors of 669 are 3 x 223
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 621 are 3 x 3 x 3 x 23
Prime factors of 543 are 3 x 181
The highest common occurrence is 31
Therefore, GCD of 669, 420, 621, 543 is 3.
Given numbers are 669, 420, 621, 543
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(669, 420) = 93660
GCD(669, 420) = ( 669 x 420 ) / 93660
= 669 / 420
= 669
Step2:
LCM(3, 621) = 621
GCD(3, 621) = ( 3 x 621 ) / 621
= 3 / 621
= 3
Step3:
LCM(3, 543) = 543
GCD(3, 543) = ( 3 x 543 ) / 543
= 3 / 543
= 3
So, Greatest Common Divisor of 669, 420, 621, 543 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 669, 420, 621, 543
The greatest common divisor of numbers 669, 420, 621, 543 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 669, 420, 621, 543 is 3.
1. What is the GCD of 669, 420, 621, 543?
GCD of given numbers 669, 420, 621, 543 is 3
2. How to calculate the greatest common divisor of 669, 420, 621, 543?
We can find the highest common divisor of 669, 420, 621, 543 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 669, 420, 621, 543 i.e 3.
3. How can I use the GCD of 669, 420, 621, 543Calculator?
Out the numbers 669, 420, 621, 543 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.