Online GCD Calculator is useful to find the GCD of 696, 494, 217, 349 quickly. Get the easiest ways to solve the greatest common divisor of 696, 494, 217, 349 i.e 1 in different methods as follows.
Given Input numbers are 696, 494, 217, 349
In the factoring method, we have to find the divisors of all numbers
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 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
GCD of numbers is the greatest common divisor
So, the GCD (696, 494, 217, 349) = 1.
Given numbers are 696, 494, 217, 349
The list of prime factors of all numbers are
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 494 are 2 x 13 x 19
Prime factors of 217 are 7 x 31
Prime factors of 349 are 349
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 696, 494, 217, 349
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(696, 494) = 171912
GCD(696, 494) = ( 696 x 494 ) / 171912
= 696 / 494
= 696
Step2:
LCM(2, 217) = 434
GCD(2, 217) = ( 2 x 217 ) / 434
= 2 / 217
= 2
Step3:
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
= 1 / 349
= 1
So, Greatest Common Divisor of 696, 494, 217, 349 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 696, 494, 217, 349
The greatest common divisor of numbers 696, 494, 217, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 494, 217, 349 is 1.
1. What is the GCD of 696, 494, 217, 349?
GCD of given numbers 696, 494, 217, 349 is 1
2. How to calculate the greatest common divisor of 696, 494, 217, 349?
We can find the highest common divisor of 696, 494, 217, 349 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 696, 494, 217, 349 i.e 1.
3. How can I use the GCD of 696, 494, 217, 349Calculator?
Out the numbers 696, 494, 217, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.