Online GCD Calculator is useful to find the GCD of 621, 753, 261, 456 quickly. Get the easiest ways to solve the greatest common divisor of 621, 753, 261, 456 i.e 3 in different methods as follows.
Given Input numbers are 621, 753, 261, 456
In the factoring method, we have to find the divisors of all numbers
Divisors of 621 :
The positive integer divisors of 621 that completely divides 621 are.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
GCD of numbers is the greatest common divisor
So, the GCD (621, 753, 261, 456) = 3.
Given numbers are 621, 753, 261, 456
The list of prime factors of all numbers are
Prime factors of 621 are 3 x 3 x 3 x 23
Prime factors of 753 are 3 x 251
Prime factors of 261 are 3 x 3 x 29
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 621, 753, 261, 456 is 3.
Given numbers are 621, 753, 261, 456
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(621, 753) = 155871
GCD(621, 753) = ( 621 x 753 ) / 155871
= 621 / 753
= 621
Step2:
LCM(3, 261) = 261
GCD(3, 261) = ( 3 x 261 ) / 261
= 3 / 261
= 3
Step3:
LCM(3, 456) = 456
GCD(3, 456) = ( 3 x 456 ) / 456
= 3 / 456
= 3
So, Greatest Common Divisor of 621, 753, 261, 456 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 621, 753, 261, 456
The greatest common divisor of numbers 621, 753, 261, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 621, 753, 261, 456 is 3.
1. What is the GCD of 621, 753, 261, 456?
GCD of given numbers 621, 753, 261, 456 is 3
2. How to calculate the greatest common divisor of 621, 753, 261, 456?
We can find the highest common divisor of 621, 753, 261, 456 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 621, 753, 261, 456 i.e 3.
3. How can I use the GCD of 621, 753, 261, 456Calculator?
Out the numbers 621, 753, 261, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.