Online GCD Calculator is useful to find the GCD of 130, 460, 280, 960 quickly. Get the easiest ways to solve the greatest common divisor of 130, 460, 280, 960 i.e 10 in different methods as follows.
Given Input numbers are 130, 460, 280, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
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 (130, 460, 280, 960) = 10.
Given numbers are 130, 460, 280, 960
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
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 21 x 51
Therefore, GCD of 130, 460, 280, 960 is 10.
Given numbers are 130, 460, 280, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 460) = 5980
GCD(130, 460) = ( 130 x 460 ) / 5980
= 130 / 460
= 130
Step2:
LCM(10, 280) = 280
GCD(10, 280) = ( 10 x 280 ) / 280
= 10 / 280
= 10
Step3:
LCM(10, 960) = 960
GCD(10, 960) = ( 10 x 960 ) / 960
= 10 / 960
= 10
So, Greatest Common Divisor of 130, 460, 280, 960 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 130, 460, 280, 960
The greatest common divisor of numbers 130, 460, 280, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 460, 280, 960 is 10.
1. What is the GCD of 130, 460, 280, 960?
GCD of given numbers 130, 460, 280, 960 is 10
2. How to calculate the greatest common divisor of 130, 460, 280, 960?
We can find the highest common divisor of 130, 460, 280, 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 130, 460, 280, 960 i.e 10.
3. How can I use the GCD of 130, 460, 280, 960Calculator?
Out the numbers 130, 460, 280, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.