Online GCD Calculator is useful to find the GCD of 504, 921, 141, 744 quickly. Get the easiest ways to solve the greatest common divisor of 504, 921, 141, 744 i.e 3 in different methods as follows.
Given Input numbers are 504, 921, 141, 744
In the factoring method, we have to find the divisors of all numbers
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
GCD of numbers is the greatest common divisor
So, the GCD (504, 921, 141, 744) = 3.
Given numbers are 504, 921, 141, 744
The list of prime factors of all numbers are
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 921 are 3 x 307
Prime factors of 141 are 3 x 47
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
The highest common occurrence is 31
Therefore, GCD of 504, 921, 141, 744 is 3.
Given numbers are 504, 921, 141, 744
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 921) = 154728
GCD(504, 921) = ( 504 x 921 ) / 154728
= 504 / 921
= 504
Step2:
LCM(3, 141) = 141
GCD(3, 141) = ( 3 x 141 ) / 141
= 3 / 141
= 3
Step3:
LCM(3, 744) = 744
GCD(3, 744) = ( 3 x 744 ) / 744
= 3 / 744
= 3
So, Greatest Common Divisor of 504, 921, 141, 744 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 504, 921, 141, 744
The greatest common divisor of numbers 504, 921, 141, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 921, 141, 744 is 3.
1. What is the GCD of 504, 921, 141, 744?
GCD of given numbers 504, 921, 141, 744 is 3
2. How to calculate the greatest common divisor of 504, 921, 141, 744?
We can find the highest common divisor of 504, 921, 141, 744 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 504, 921, 141, 744 i.e 3.
3. How can I use the GCD of 504, 921, 141, 744Calculator?
Out the numbers 504, 921, 141, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.