Online GCD Calculator is useful to find the GCD of 898, 687, 22, 704 quickly. Get the easiest ways to solve the greatest common divisor of 898, 687, 22, 704 i.e 1 in different methods as follows.
Given Input numbers are 898, 687, 22, 704
In the factoring method, we have to find the divisors of all numbers
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 22 :
The positive integer divisors of 22 that completely divides 22 are.
1, 2, 11, 22
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
GCD of numbers is the greatest common divisor
So, the GCD (898, 687, 22, 704) = 1.
Given numbers are 898, 687, 22, 704
The list of prime factors of all numbers are
Prime factors of 898 are 2 x 449
Prime factors of 687 are 3 x 229
Prime factors of 22 are 2 x 11
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 898, 687, 22, 704
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(898, 687) = 616926
GCD(898, 687) = ( 898 x 687 ) / 616926
= 898 / 687
= 898
Step2:
LCM(1, 22) = 22
GCD(1, 22) = ( 1 x 22 ) / 22
= 1 / 22
= 1
Step3:
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
= 1 / 704
= 1
So, Greatest Common Divisor of 898, 687, 22, 704 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 898, 687, 22, 704
The greatest common divisor of numbers 898, 687, 22, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 687, 22, 704 is 1.
1. What is the GCD of 898, 687, 22, 704?
GCD of given numbers 898, 687, 22, 704 is 1
2. How to calculate the greatest common divisor of 898, 687, 22, 704?
We can find the highest common divisor of 898, 687, 22, 704 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 898, 687, 22, 704 i.e 1.
3. How can I use the GCD of 898, 687, 22, 704Calculator?
Out the numbers 898, 687, 22, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.