Online GCD Calculator is useful to find the GCD of 564, 429, 625, 780 quickly. Get the easiest ways to solve the greatest common divisor of 564, 429, 625, 780 i.e 1 in different methods as follows.
Given Input numbers are 564, 429, 625, 780
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 625 :
The positive integer divisors of 625 that completely divides 625 are.
1, 5, 25, 125, 625
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 (564, 429, 625, 780) = 1.
Given numbers are 564, 429, 625, 780
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 429 are 3 x 11 x 13
Prime factors of 625 are 5 x 5 x 5 x 5
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 564, 429, 625, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 429) = 80652
GCD(564, 429) = ( 564 x 429 ) / 80652
= 564 / 429
= 564
Step2:
LCM(3, 625) = 1875
GCD(3, 625) = ( 3 x 625 ) / 1875
= 3 / 625
= 3
Step3:
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
= 1 / 780
= 1
So, Greatest Common Divisor of 564, 429, 625, 780 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 429, 625, 780
The greatest common divisor of numbers 564, 429, 625, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 429, 625, 780 is 1.
1. What is the GCD of 564, 429, 625, 780?
GCD of given numbers 564, 429, 625, 780 is 1
2. How to calculate the greatest common divisor of 564, 429, 625, 780?
We can find the highest common divisor of 564, 429, 625, 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 564, 429, 625, 780 i.e 1.
3. How can I use the GCD of 564, 429, 625, 780Calculator?
Out the numbers 564, 429, 625, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.