Online GCD Calculator is useful to find the GCD of 783, 708, 198, 600 quickly. Get the easiest ways to solve the greatest common divisor of 783, 708, 198, 600 i.e 3 in different methods as follows.
Given Input numbers are 783, 708, 198, 600
In the factoring method, we have to find the divisors of all numbers
Divisors of 783 :
The positive integer divisors of 783 that completely divides 783 are.
1, 3, 9, 27, 29, 87, 261, 783
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
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 (783, 708, 198, 600) = 3.
Given numbers are 783, 708, 198, 600
The list of prime factors of all numbers are
Prime factors of 783 are 3 x 3 x 3 x 29
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 198 are 2 x 3 x 3 x 11
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 783, 708, 198, 600 is 3.
Given numbers are 783, 708, 198, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(783, 708) = 184788
GCD(783, 708) = ( 783 x 708 ) / 184788
= 783 / 708
= 783
Step2:
LCM(3, 198) = 198
GCD(3, 198) = ( 3 x 198 ) / 198
= 3 / 198
= 3
Step3:
LCM(3, 600) = 600
GCD(3, 600) = ( 3 x 600 ) / 600
= 3 / 600
= 3
So, Greatest Common Divisor of 783, 708, 198, 600 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 783, 708, 198, 600
The greatest common divisor of numbers 783, 708, 198, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 783, 708, 198, 600 is 3.
1. What is the GCD of 783, 708, 198, 600?
GCD of given numbers 783, 708, 198, 600 is 3
2. How to calculate the greatest common divisor of 783, 708, 198, 600?
We can find the highest common divisor of 783, 708, 198, 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 783, 708, 198, 600 i.e 3.
3. How can I use the GCD of 783, 708, 198, 600Calculator?
Out the numbers 783, 708, 198, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.