Online GCD Calculator is useful to find the GCD of 560, 755, 720, 665 quickly. Get the easiest ways to solve the greatest common divisor of 560, 755, 720, 665 i.e 5 in different methods as follows.
Given Input numbers are 560, 755, 720, 665
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 665 :
The positive integer divisors of 665 that completely divides 665 are.
1, 5, 7, 19, 35, 95, 133, 665
GCD of numbers is the greatest common divisor
So, the GCD (560, 755, 720, 665) = 5.
Given numbers are 560, 755, 720, 665
The list of prime factors of all numbers are
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 755 are 5 x 151
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 665 are 5 x 7 x 19
The highest common occurrence is 51
Therefore, GCD of 560, 755, 720, 665 is 5.
Given numbers are 560, 755, 720, 665
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 755) = 84560
GCD(560, 755) = ( 560 x 755 ) / 84560
= 560 / 755
= 560
Step2:
LCM(5, 720) = 720
GCD(5, 720) = ( 5 x 720 ) / 720
= 5 / 720
= 5
Step3:
LCM(5, 665) = 665
GCD(5, 665) = ( 5 x 665 ) / 665
= 5 / 665
= 5
So, Greatest Common Divisor of 560, 755, 720, 665 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 755, 720, 665
The greatest common divisor of numbers 560, 755, 720, 665 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 755, 720, 665 is 5.
1. What is the GCD of 560, 755, 720, 665?
GCD of given numbers 560, 755, 720, 665 is 5
2. How to calculate the greatest common divisor of 560, 755, 720, 665?
We can find the highest common divisor of 560, 755, 720, 665 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 560, 755, 720, 665 i.e 5.
3. How can I use the GCD of 560, 755, 720, 665Calculator?
Out the numbers 560, 755, 720, 665 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.