Online GCD Calculator is useful to find the GCD of 767, 460, 164, 898 quickly. Get the easiest ways to solve the greatest common divisor of 767, 460, 164, 898 i.e 1 in different methods as follows.
Given Input numbers are 767, 460, 164, 898
In the factoring method, we have to find the divisors of all numbers
Divisors of 767 :
The positive integer divisors of 767 that completely divides 767 are.
1, 13, 59, 767
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 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
GCD of numbers is the greatest common divisor
So, the GCD (767, 460, 164, 898) = 1.
Given numbers are 767, 460, 164, 898
The list of prime factors of all numbers are
Prime factors of 767 are 13 x 59
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 164 are 2 x 2 x 41
Prime factors of 898 are 2 x 449
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 767, 460, 164, 898
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(767, 460) = 352820
GCD(767, 460) = ( 767 x 460 ) / 352820
= 767 / 460
= 767
Step2:
LCM(1, 164) = 164
GCD(1, 164) = ( 1 x 164 ) / 164
= 1 / 164
= 1
Step3:
LCM(1, 898) = 898
GCD(1, 898) = ( 1 x 898 ) / 898
= 1 / 898
= 1
So, Greatest Common Divisor of 767, 460, 164, 898 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 767, 460, 164, 898
The greatest common divisor of numbers 767, 460, 164, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 767, 460, 164, 898 is 1.
1. What is the GCD of 767, 460, 164, 898?
GCD of given numbers 767, 460, 164, 898 is 1
2. How to calculate the greatest common divisor of 767, 460, 164, 898?
We can find the highest common divisor of 767, 460, 164, 898 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 767, 460, 164, 898 i.e 1.
3. How can I use the GCD of 767, 460, 164, 898Calculator?
Out the numbers 767, 460, 164, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.