Online GCD Calculator is useful to find the GCD of 453, 384, 648, 141 quickly. Get the easiest ways to solve the greatest common divisor of 453, 384, 648, 141 i.e 3 in different methods as follows.
Given Input numbers are 453, 384, 648, 141
In the factoring method, we have to find the divisors of all numbers
Divisors of 453 :
The positive integer divisors of 453 that completely divides 453 are.
1, 3, 151, 453
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
GCD of numbers is the greatest common divisor
So, the GCD (453, 384, 648, 141) = 3.
Given numbers are 453, 384, 648, 141
The list of prime factors of all numbers are
Prime factors of 453 are 3 x 151
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 141 are 3 x 47
The highest common occurrence is 31
Therefore, GCD of 453, 384, 648, 141 is 3.
Given numbers are 453, 384, 648, 141
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(453, 384) = 57984
GCD(453, 384) = ( 453 x 384 ) / 57984
= 453 / 384
= 453
Step2:
LCM(3, 648) = 648
GCD(3, 648) = ( 3 x 648 ) / 648
= 3 / 648
= 3
Step3:
LCM(3, 141) = 141
GCD(3, 141) = ( 3 x 141 ) / 141
= 3 / 141
= 3
So, Greatest Common Divisor of 453, 384, 648, 141 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 453, 384, 648, 141
The greatest common divisor of numbers 453, 384, 648, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 453, 384, 648, 141 is 3.
1. What is the GCD of 453, 384, 648, 141?
GCD of given numbers 453, 384, 648, 141 is 3
2. How to calculate the greatest common divisor of 453, 384, 648, 141?
We can find the highest common divisor of 453, 384, 648, 141 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 453, 384, 648, 141 i.e 3.
3. How can I use the GCD of 453, 384, 648, 141Calculator?
Out the numbers 453, 384, 648, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.