Online GCD Calculator is useful to find the GCD of 269, 217, 691 quickly. Get the easiest ways to solve the greatest common divisor of 269, 217, 691 i.e 1 in different methods as follows.
Given Input numbers are 269, 217, 691
In the factoring method, we have to find the divisors of all numbers
Divisors of 269 :
The positive integer divisors of 269 that completely divides 269 are.
1, 269
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
Divisors of 691 :
The positive integer divisors of 691 that completely divides 691 are.
1, 691
GCD of numbers is the greatest common divisor
So, the GCD (269, 217, 691) = 1.
Given numbers are 269, 217, 691
The list of prime factors of all numbers are
Prime factors of 269 are 269
Prime factors of 217 are 7 x 31
Prime factors of 691 are 691
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 269, 217, 691
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(269, 217) = 58373
GCD(269, 217) = ( 269 x 217 ) / 58373
= 269 / 217
= 269
Step2:
LCM(1, 691) = 691
GCD(1, 691) = ( 1 x 691 ) / 691
= 1 / 691
= 1
So, Greatest Common Divisor of 269, 217, 691 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 269, 217, 691
The greatest common divisor of numbers 269, 217, 691 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 269, 217, 691 is 1.
1. What is the GCD of 269, 217, 691?
GCD of given numbers 269, 217, 691 is 1
2. How to calculate the greatest common divisor of 269, 217, 691?
We can find the highest common divisor of 269, 217, 691 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 269, 217, 691 i.e 1.
3. How can I use the GCD of 269, 217, 691Calculator?
Out the numbers 269, 217, 691 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.