Online GCD Calculator is useful to find the GCD of 325, 360, 917, 748 quickly. Get the easiest ways to solve the greatest common divisor of 325, 360, 917, 748 i.e 1 in different methods as follows.
Given Input numbers are 325, 360, 917, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 325 :
The positive integer divisors of 325 that completely divides 325 are.
1, 5, 13, 25, 65, 325
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 917 :
The positive integer divisors of 917 that completely divides 917 are.
1, 7, 131, 917
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
GCD of numbers is the greatest common divisor
So, the GCD (325, 360, 917, 748) = 1.
Given numbers are 325, 360, 917, 748
The list of prime factors of all numbers are
Prime factors of 325 are 5 x 5 x 13
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 917 are 7 x 131
Prime factors of 748 are 2 x 2 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 325, 360, 917, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(325, 360) = 23400
GCD(325, 360) = ( 325 x 360 ) / 23400
= 325 / 360
= 325
Step2:
LCM(5, 917) = 4585
GCD(5, 917) = ( 5 x 917 ) / 4585
= 5 / 917
= 5
Step3:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
So, Greatest Common Divisor of 325, 360, 917, 748 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 325, 360, 917, 748
The greatest common divisor of numbers 325, 360, 917, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 325, 360, 917, 748 is 1.
1. What is the GCD of 325, 360, 917, 748?
GCD of given numbers 325, 360, 917, 748 is 1
2. How to calculate the greatest common divisor of 325, 360, 917, 748?
We can find the highest common divisor of 325, 360, 917, 748 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 325, 360, 917, 748 i.e 1.
3. How can I use the GCD of 325, 360, 917, 748Calculator?
Out the numbers 325, 360, 917, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.