Online GCD Calculator is useful to find the GCD of 261, 725, 960, 422 quickly. Get the easiest ways to solve the greatest common divisor of 261, 725, 960, 422 i.e 1 in different methods as follows.
Given Input numbers are 261, 725, 960, 422
In the factoring method, we have to find the divisors of all numbers
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
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
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (261, 725, 960, 422) = 1.
Given numbers are 261, 725, 960, 422
The list of prime factors of all numbers are
Prime factors of 261 are 3 x 3 x 29
Prime factors of 725 are 5 x 5 x 29
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 422 are 2 x 211
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 261, 725, 960, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(261, 725) = 6525
GCD(261, 725) = ( 261 x 725 ) / 6525
= 261 / 725
= 261
Step2:
LCM(29, 960) = 27840
GCD(29, 960) = ( 29 x 960 ) / 27840
= 29 / 960
= 29
Step3:
LCM(1, 422) = 422
GCD(1, 422) = ( 1 x 422 ) / 422
= 1 / 422
= 1
So, Greatest Common Divisor of 261, 725, 960, 422 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 261, 725, 960, 422
The greatest common divisor of numbers 261, 725, 960, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 725, 960, 422 is 1.
1. What is the GCD of 261, 725, 960, 422?
GCD of given numbers 261, 725, 960, 422 is 1
2. How to calculate the greatest common divisor of 261, 725, 960, 422?
We can find the highest common divisor of 261, 725, 960, 422 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 261, 725, 960, 422 i.e 1.
3. How can I use the GCD of 261, 725, 960, 422Calculator?
Out the numbers 261, 725, 960, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.