Online GCD Calculator is useful to find the GCD of 753, 441, 126, 954 quickly. Get the easiest ways to solve the greatest common divisor of 753, 441, 126, 954 i.e 3 in different methods as follows.
Given Input numbers are 753, 441, 126, 954
In the factoring method, we have to find the divisors of all numbers
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
GCD of numbers is the greatest common divisor
So, the GCD (753, 441, 126, 954) = 3.
Given numbers are 753, 441, 126, 954
The list of prime factors of all numbers are
Prime factors of 753 are 3 x 251
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 954 are 2 x 3 x 3 x 53
The highest common occurrence is 31
Therefore, GCD of 753, 441, 126, 954 is 3.
Given numbers are 753, 441, 126, 954
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(753, 441) = 110691
GCD(753, 441) = ( 753 x 441 ) / 110691
= 753 / 441
= 753
Step2:
LCM(3, 126) = 126
GCD(3, 126) = ( 3 x 126 ) / 126
= 3 / 126
= 3
Step3:
LCM(3, 954) = 954
GCD(3, 954) = ( 3 x 954 ) / 954
= 3 / 954
= 3
So, Greatest Common Divisor of 753, 441, 126, 954 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 753, 441, 126, 954
The greatest common divisor of numbers 753, 441, 126, 954 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 441, 126, 954 is 3.
1. What is the GCD of 753, 441, 126, 954?
GCD of given numbers 753, 441, 126, 954 is 3
2. How to calculate the greatest common divisor of 753, 441, 126, 954?
We can find the highest common divisor of 753, 441, 126, 954 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 753, 441, 126, 954 i.e 3.
3. How can I use the GCD of 753, 441, 126, 954Calculator?
Out the numbers 753, 441, 126, 954 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.