Online GCD Calculator is useful to find the GCD of 460, 971, 692, 380 quickly. Get the easiest ways to solve the greatest common divisor of 460, 971, 692, 380 i.e 1 in different methods as follows.
Given Input numbers are 460, 971, 692, 380
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 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
GCD of numbers is the greatest common divisor
So, the GCD (460, 971, 692, 380) = 1.
Given numbers are 460, 971, 692, 380
The list of prime factors of all numbers are
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 971 are 971
Prime factors of 692 are 2 x 2 x 173
Prime factors of 380 are 2 x 2 x 5 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 460, 971, 692, 380
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(460, 971) = 446660
GCD(460, 971) = ( 460 x 971 ) / 446660
= 460 / 971
= 460
Step2:
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
= 1 / 692
= 1
Step3:
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
= 1 / 380
= 1
So, Greatest Common Divisor of 460, 971, 692, 380 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 460, 971, 692, 380
The greatest common divisor of numbers 460, 971, 692, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 971, 692, 380 is 1.
1. What is the GCD of 460, 971, 692, 380?
GCD of given numbers 460, 971, 692, 380 is 1
2. How to calculate the greatest common divisor of 460, 971, 692, 380?
We can find the highest common divisor of 460, 971, 692, 380 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, 971, 692, 380 i.e 1.
3. How can I use the GCD of 460, 971, 692, 380Calculator?
Out the numbers 460, 971, 692, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.