Online GCD Calculator is useful to find the GCD of 698, 217, 696, 289 quickly. Get the easiest ways to solve the greatest common divisor of 698, 217, 696, 289 i.e 1 in different methods as follows.
Given Input numbers are 698, 217, 696, 289
In the factoring method, we have to find the divisors of all numbers
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
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
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (698, 217, 696, 289) = 1.
Given numbers are 698, 217, 696, 289
The list of prime factors of all numbers are
Prime factors of 698 are 2 x 349
Prime factors of 217 are 7 x 31
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 289 are 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 698, 217, 696, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(698, 217) = 151466
GCD(698, 217) = ( 698 x 217 ) / 151466
= 698 / 217
= 698
Step2:
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
= 1 / 696
= 1
Step3:
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
= 1 / 289
= 1
So, Greatest Common Divisor of 698, 217, 696, 289 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 698, 217, 696, 289
The greatest common divisor of numbers 698, 217, 696, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 217, 696, 289 is 1.
1. What is the GCD of 698, 217, 696, 289?
GCD of given numbers 698, 217, 696, 289 is 1
2. How to calculate the greatest common divisor of 698, 217, 696, 289?
We can find the highest common divisor of 698, 217, 696, 289 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 698, 217, 696, 289 i.e 1.
3. How can I use the GCD of 698, 217, 696, 289Calculator?
Out the numbers 698, 217, 696, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.