Online GCD Calculator is useful to find the GCD of 600, 636, 236, 716 quickly. Get the easiest ways to solve the greatest common divisor of 600, 636, 236, 716 i.e 4 in different methods as follows.
Given Input numbers are 600, 636, 236, 716
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 236 :
The positive integer divisors of 236 that completely divides 236 are.
1, 2, 4, 59, 118, 236
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
GCD of numbers is the greatest common divisor
So, the GCD (600, 636, 236, 716) = 4.
Given numbers are 600, 636, 236, 716
The list of prime factors of all numbers are
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 236 are 2 x 2 x 59
Prime factors of 716 are 2 x 2 x 179
The highest common occurrence is 22
Therefore, GCD of 600, 636, 236, 716 is 4.
Given numbers are 600, 636, 236, 716
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 636) = 31800
GCD(600, 636) = ( 600 x 636 ) / 31800
= 600 / 636
= 600
Step2:
LCM(12, 236) = 708
GCD(12, 236) = ( 12 x 236 ) / 708
= 12 / 236
= 12
Step3:
LCM(4, 716) = 716
GCD(4, 716) = ( 4 x 716 ) / 716
= 4 / 716
= 4
So, Greatest Common Divisor of 600, 636, 236, 716 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 600, 636, 236, 716
The greatest common divisor of numbers 600, 636, 236, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 636, 236, 716 is 4.
1. What is the GCD of 600, 636, 236, 716?
GCD of given numbers 600, 636, 236, 716 is 4
2. How to calculate the greatest common divisor of 600, 636, 236, 716?
We can find the highest common divisor of 600, 636, 236, 716 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 600, 636, 236, 716 i.e 4.
3. How can I use the GCD of 600, 636, 236, 716Calculator?
Out the numbers 600, 636, 236, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.