Online GCD Calculator is useful to find the GCD of 691, 714, 511, 338 quickly. Get the easiest ways to solve the greatest common divisor of 691, 714, 511, 338 i.e 1 in different methods as follows.
Given Input numbers are 691, 714, 511, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 691 :
The positive integer divisors of 691 that completely divides 691 are.
1, 691
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 511 :
The positive integer divisors of 511 that completely divides 511 are.
1, 7, 73, 511
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (691, 714, 511, 338) = 1.
Given numbers are 691, 714, 511, 338
The list of prime factors of all numbers are
Prime factors of 691 are 691
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 511 are 7 x 73
Prime factors of 338 are 2 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 691, 714, 511, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(691, 714) = 493374
GCD(691, 714) = ( 691 x 714 ) / 493374
= 691 / 714
= 691
Step2:
LCM(1, 511) = 511
GCD(1, 511) = ( 1 x 511 ) / 511
= 1 / 511
= 1
Step3:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
So, Greatest Common Divisor of 691, 714, 511, 338 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 691, 714, 511, 338
The greatest common divisor of numbers 691, 714, 511, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 691, 714, 511, 338 is 1.
1. What is the GCD of 691, 714, 511, 338?
GCD of given numbers 691, 714, 511, 338 is 1
2. How to calculate the greatest common divisor of 691, 714, 511, 338?
We can find the highest common divisor of 691, 714, 511, 338 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 691, 714, 511, 338 i.e 1.
3. How can I use the GCD of 691, 714, 511, 338Calculator?
Out the numbers 691, 714, 511, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.