Online GCD Calculator is useful to find the GCD of 753, 813, 141, 600 quickly. Get the easiest ways to solve the greatest common divisor of 753, 813, 141, 600 i.e 3 in different methods as follows.
Given Input numbers are 753, 813, 141, 600
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 813 :
The positive integer divisors of 813 that completely divides 813 are.
1, 3, 271, 813
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
GCD of numbers is the greatest common divisor
So, the GCD (753, 813, 141, 600) = 3.
Given numbers are 753, 813, 141, 600
The list of prime factors of all numbers are
Prime factors of 753 are 3 x 251
Prime factors of 813 are 3 x 271
Prime factors of 141 are 3 x 47
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 753, 813, 141, 600 is 3.
Given numbers are 753, 813, 141, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(753, 813) = 204063
GCD(753, 813) = ( 753 x 813 ) / 204063
= 753 / 813
= 753
Step2:
LCM(3, 141) = 141
GCD(3, 141) = ( 3 x 141 ) / 141
= 3 / 141
= 3
Step3:
LCM(3, 600) = 600
GCD(3, 600) = ( 3 x 600 ) / 600
= 3 / 600
= 3
So, Greatest Common Divisor of 753, 813, 141, 600 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 753, 813, 141, 600
The greatest common divisor of numbers 753, 813, 141, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 813, 141, 600 is 3.
1. What is the GCD of 753, 813, 141, 600?
GCD of given numbers 753, 813, 141, 600 is 3
2. How to calculate the greatest common divisor of 753, 813, 141, 600?
We can find the highest common divisor of 753, 813, 141, 600 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, 813, 141, 600 i.e 3.
3. How can I use the GCD of 753, 813, 141, 600Calculator?
Out the numbers 753, 813, 141, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.