Online GCD Calculator is useful to find the GCD of 801, 780, 564 quickly. Get the easiest ways to solve the greatest common divisor of 801, 780, 564 i.e 3 in different methods as follows.
Given Input numbers are 801, 780, 564
In the factoring method, we have to find the divisors of all numbers
Divisors of 801 :
The positive integer divisors of 801 that completely divides 801 are.
1, 3, 9, 89, 267, 801
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
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (801, 780, 564) = 3.
Given numbers are 801, 780, 564
The list of prime factors of all numbers are
Prime factors of 801 are 3 x 3 x 89
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 801, 780, 564 is 3.
Given numbers are 801, 780, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(801, 780) = 208260
GCD(801, 780) = ( 801 x 780 ) / 208260
= 801 / 780
= 801
Step2:
LCM(3, 564) = 564
GCD(3, 564) = ( 3 x 564 ) / 564
= 3 / 564
= 3
So, Greatest Common Divisor of 801, 780, 564 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 801, 780, 564
The greatest common divisor of numbers 801, 780, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 801, 780, 564 is 3.
1. What is the GCD of 801, 780, 564?
GCD of given numbers 801, 780, 564 is 3
2. How to calculate the greatest common divisor of 801, 780, 564?
We can find the highest common divisor of 801, 780, 564 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 801, 780, 564 i.e 3.
3. How can I use the GCD of 801, 780, 564Calculator?
Out the numbers 801, 780, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.