Online GCD Calculator is useful to find the GCD of 460, 687, 858, 696 quickly. Get the easiest ways to solve the greatest common divisor of 460, 687, 858, 696 i.e 1 in different methods as follows.
Given Input numbers are 460, 687, 858, 696
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 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 858 :
The positive integer divisors of 858 that completely divides 858 are.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
GCD of numbers is the greatest common divisor
So, the GCD (460, 687, 858, 696) = 1.
Given numbers are 460, 687, 858, 696
The list of prime factors of all numbers are
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 687 are 3 x 229
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 460, 687, 858, 696
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(460, 687) = 316020
GCD(460, 687) = ( 460 x 687 ) / 316020
= 460 / 687
= 460
Step2:
LCM(1, 858) = 858
GCD(1, 858) = ( 1 x 858 ) / 858
= 1 / 858
= 1
Step3:
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
= 1 / 696
= 1
So, Greatest Common Divisor of 460, 687, 858, 696 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 460, 687, 858, 696
The greatest common divisor of numbers 460, 687, 858, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 687, 858, 696 is 1.
1. What is the GCD of 460, 687, 858, 696?
GCD of given numbers 460, 687, 858, 696 is 1
2. How to calculate the greatest common divisor of 460, 687, 858, 696?
We can find the highest common divisor of 460, 687, 858, 696 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, 687, 858, 696 i.e 1.
3. How can I use the GCD of 460, 687, 858, 696Calculator?
Out the numbers 460, 687, 858, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.