Online GCD Calculator is useful to find the GCD of 460, 397, 748, 175 quickly. Get the easiest ways to solve the greatest common divisor of 460, 397, 748, 175 i.e 1 in different methods as follows.
Given Input numbers are 460, 397, 748, 175
In the factoring method, we have to find the divisors of all numbers
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 397 :
The positive integer divisors of 397 that completely divides 397 are.
1, 397
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
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
GCD of numbers is the greatest common divisor
So, the GCD (460, 397, 748, 175) = 1.
Given numbers are 460, 397, 748, 175
The list of prime factors of all numbers are
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 397 are 397
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 175 are 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 460, 397, 748, 175
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(460, 397) = 182620
GCD(460, 397) = ( 460 x 397 ) / 182620
= 460 / 397
= 460
Step2:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
Step3:
LCM(1, 175) = 175
GCD(1, 175) = ( 1 x 175 ) / 175
= 1 / 175
= 1
So, Greatest Common Divisor of 460, 397, 748, 175 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 460, 397, 748, 175
The greatest common divisor of numbers 460, 397, 748, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 397, 748, 175 is 1.
1. What is the GCD of 460, 397, 748, 175?
GCD of given numbers 460, 397, 748, 175 is 1
2. How to calculate the greatest common divisor of 460, 397, 748, 175?
We can find the highest common divisor of 460, 397, 748, 175 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 460, 397, 748, 175 i.e 1.
3. How can I use the GCD of 460, 397, 748, 175Calculator?
Out the numbers 460, 397, 748, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.