Online GCD Calculator is useful to find the GCD of 708, 501, 807, 300 quickly. Get the easiest ways to solve the greatest common divisor of 708, 501, 807, 300 i.e 3 in different methods as follows.
Given Input numbers are 708, 501, 807, 300
In the factoring method, we have to find the divisors of all numbers
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 501 :
The positive integer divisors of 501 that completely divides 501 are.
1, 3, 167, 501
Divisors of 807 :
The positive integer divisors of 807 that completely divides 807 are.
1, 3, 269, 807
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (708, 501, 807, 300) = 3.
Given numbers are 708, 501, 807, 300
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 501 are 3 x 167
Prime factors of 807 are 3 x 269
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 708, 501, 807, 300 is 3.
Given numbers are 708, 501, 807, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 501) = 118236
GCD(708, 501) = ( 708 x 501 ) / 118236
= 708 / 501
= 708
Step2:
LCM(3, 807) = 807
GCD(3, 807) = ( 3 x 807 ) / 807
= 3 / 807
= 3
Step3:
LCM(3, 300) = 300
GCD(3, 300) = ( 3 x 300 ) / 300
= 3 / 300
= 3
So, Greatest Common Divisor of 708, 501, 807, 300 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 501, 807, 300
The greatest common divisor of numbers 708, 501, 807, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 501, 807, 300 is 3.
1. What is the GCD of 708, 501, 807, 300?
GCD of given numbers 708, 501, 807, 300 is 3
2. How to calculate the greatest common divisor of 708, 501, 807, 300?
We can find the highest common divisor of 708, 501, 807, 300 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 708, 501, 807, 300 i.e 3.
3. How can I use the GCD of 708, 501, 807, 300Calculator?
Out the numbers 708, 501, 807, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.