Online GCD Calculator is useful to find the GCD of 561, 624, 847, 560 quickly. Get the easiest ways to solve the greatest common divisor of 561, 624, 847, 560 i.e 1 in different methods as follows.
Given Input numbers are 561, 624, 847, 560
In the factoring method, we have to find the divisors of all numbers
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 847 :
The positive integer divisors of 847 that completely divides 847 are.
1, 7, 11, 77, 121, 847
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
GCD of numbers is the greatest common divisor
So, the GCD (561, 624, 847, 560) = 1.
Given numbers are 561, 624, 847, 560
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 847 are 7 x 11 x 11
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 624, 847, 560
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 624) = 116688
GCD(561, 624) = ( 561 x 624 ) / 116688
= 561 / 624
= 561
Step2:
LCM(3, 847) = 2541
GCD(3, 847) = ( 3 x 847 ) / 2541
= 3 / 847
= 3
Step3:
LCM(1, 560) = 560
GCD(1, 560) = ( 1 x 560 ) / 560
= 1 / 560
= 1
So, Greatest Common Divisor of 561, 624, 847, 560 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 624, 847, 560
The greatest common divisor of numbers 561, 624, 847, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 624, 847, 560 is 1.
1. What is the GCD of 561, 624, 847, 560?
GCD of given numbers 561, 624, 847, 560 is 1
2. How to calculate the greatest common divisor of 561, 624, 847, 560?
We can find the highest common divisor of 561, 624, 847, 560 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 561, 624, 847, 560 i.e 1.
3. How can I use the GCD of 561, 624, 847, 560Calculator?
Out the numbers 561, 624, 847, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.