Online GCD Calculator is useful to find the GCD of 564, 780, 685, 707 quickly. Get the easiest ways to solve the greatest common divisor of 564, 780, 685, 707 i.e 1 in different methods as follows.
Given Input numbers are 564, 780, 685, 707
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 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 685 :
The positive integer divisors of 685 that completely divides 685 are.
1, 5, 137, 685
Divisors of 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
GCD of numbers is the greatest common divisor
So, the GCD (564, 780, 685, 707) = 1.
Given numbers are 564, 780, 685, 707
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 685 are 5 x 137
Prime factors of 707 are 7 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 564, 780, 685, 707
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 780) = 36660
GCD(564, 780) = ( 564 x 780 ) / 36660
= 564 / 780
= 564
Step2:
LCM(12, 685) = 8220
GCD(12, 685) = ( 12 x 685 ) / 8220
= 12 / 685
= 12
Step3:
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
= 1 / 707
= 1
So, Greatest Common Divisor of 564, 780, 685, 707 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 780, 685, 707
The greatest common divisor of numbers 564, 780, 685, 707 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 780, 685, 707 is 1.
1. What is the GCD of 564, 780, 685, 707?
GCD of given numbers 564, 780, 685, 707 is 1
2. How to calculate the greatest common divisor of 564, 780, 685, 707?
We can find the highest common divisor of 564, 780, 685, 707 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, 780, 685, 707 i.e 1.
3. How can I use the GCD of 564, 780, 685, 707Calculator?
Out the numbers 564, 780, 685, 707 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.