Online GCD Calculator is useful to find the GCD of 807, 531, 759, 780 quickly. Get the easiest ways to solve the greatest common divisor of 807, 531, 759, 780 i.e 3 in different methods as follows.
Given Input numbers are 807, 531, 759, 780
In the factoring method, we have to find the divisors of all numbers
Divisors of 807 :
The positive integer divisors of 807 that completely divides 807 are.
1, 3, 269, 807
Divisors of 531 :
The positive integer divisors of 531 that completely divides 531 are.
1, 3, 9, 59, 177, 531
Divisors of 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
GCD of numbers is the greatest common divisor
So, the GCD (807, 531, 759, 780) = 3.
Given numbers are 807, 531, 759, 780
The list of prime factors of all numbers are
Prime factors of 807 are 3 x 269
Prime factors of 531 are 3 x 3 x 59
Prime factors of 759 are 3 x 11 x 23
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The highest common occurrence is 31
Therefore, GCD of 807, 531, 759, 780 is 3.
Given numbers are 807, 531, 759, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(807, 531) = 142839
GCD(807, 531) = ( 807 x 531 ) / 142839
= 807 / 531
= 807
Step2:
LCM(3, 759) = 759
GCD(3, 759) = ( 3 x 759 ) / 759
= 3 / 759
= 3
Step3:
LCM(3, 780) = 780
GCD(3, 780) = ( 3 x 780 ) / 780
= 3 / 780
= 3
So, Greatest Common Divisor of 807, 531, 759, 780 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 807, 531, 759, 780
The greatest common divisor of numbers 807, 531, 759, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 807, 531, 759, 780 is 3.
1. What is the GCD of 807, 531, 759, 780?
GCD of given numbers 807, 531, 759, 780 is 3
2. How to calculate the greatest common divisor of 807, 531, 759, 780?
We can find the highest common divisor of 807, 531, 759, 780 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 807, 531, 759, 780 i.e 3.
3. How can I use the GCD of 807, 531, 759, 780Calculator?
Out the numbers 807, 531, 759, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.