Online GCD Calculator is useful to find the GCD of 615, 535, 80, 960 quickly. Get the easiest ways to solve the greatest common divisor of 615, 535, 80, 960 i.e 5 in different methods as follows.
Given Input numbers are 615, 535, 80, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 615 :
The positive integer divisors of 615 that completely divides 615 are.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 535 :
The positive integer divisors of 535 that completely divides 535 are.
1, 5, 107, 535
Divisors of 80 :
The positive integer divisors of 80 that completely divides 80 are.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (615, 535, 80, 960) = 5.
Given numbers are 615, 535, 80, 960
The list of prime factors of all numbers are
Prime factors of 615 are 3 x 5 x 41
Prime factors of 535 are 5 x 107
Prime factors of 80 are 2 x 2 x 2 x 2 x 5
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 51
Therefore, GCD of 615, 535, 80, 960 is 5.
Given numbers are 615, 535, 80, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(615, 535) = 65805
GCD(615, 535) = ( 615 x 535 ) / 65805
= 615 / 535
= 615
Step2:
LCM(5, 80) = 80
GCD(5, 80) = ( 5 x 80 ) / 80
= 5 / 80
= 5
Step3:
LCM(5, 960) = 960
GCD(5, 960) = ( 5 x 960 ) / 960
= 5 / 960
= 5
So, Greatest Common Divisor of 615, 535, 80, 960 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 615, 535, 80, 960
The greatest common divisor of numbers 615, 535, 80, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 615, 535, 80, 960 is 5.
1. What is the GCD of 615, 535, 80, 960?
GCD of given numbers 615, 535, 80, 960 is 5
2. How to calculate the greatest common divisor of 615, 535, 80, 960?
We can find the highest common divisor of 615, 535, 80, 960 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 615, 535, 80, 960 i.e 5.
3. How can I use the GCD of 615, 535, 80, 960Calculator?
Out the numbers 615, 535, 80, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.