Online GCD Calculator is useful to find the GCD of 696, 109, 441, 414 quickly. Get the easiest ways to solve the greatest common divisor of 696, 109, 441, 414 i.e 1 in different methods as follows.
Given Input numbers are 696, 109, 441, 414
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 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
GCD of numbers is the greatest common divisor
So, the GCD (696, 109, 441, 414) = 1.
Given numbers are 696, 109, 441, 414
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 109 are 109
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 414 are 2 x 3 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 696, 109, 441, 414
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(696, 109) = 75864
GCD(696, 109) = ( 696 x 109 ) / 75864
= 696 / 109
= 696
Step2:
LCM(1, 441) = 441
GCD(1, 441) = ( 1 x 441 ) / 441
= 1 / 441
= 1
Step3:
LCM(1, 414) = 414
GCD(1, 414) = ( 1 x 414 ) / 414
= 1 / 414
= 1
So, Greatest Common Divisor of 696, 109, 441, 414 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 696, 109, 441, 414
The greatest common divisor of numbers 696, 109, 441, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 109, 441, 414 is 1.
1. What is the GCD of 696, 109, 441, 414?
GCD of given numbers 696, 109, 441, 414 is 1
2. How to calculate the greatest common divisor of 696, 109, 441, 414?
We can find the highest common divisor of 696, 109, 441, 414 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, 109, 441, 414 i.e 1.
3. How can I use the GCD of 696, 109, 441, 414Calculator?
Out the numbers 696, 109, 441, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.