Online GCD Calculator is useful to find the GCD of 345, 588, 696, 880 quickly. Get the easiest ways to solve the greatest common divisor of 345, 588, 696, 880 i.e 1 in different methods as follows.
Given Input numbers are 345, 588, 696, 880
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
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 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
GCD of numbers is the greatest common divisor
So, the GCD (345, 588, 696, 880) = 1.
Given numbers are 345, 588, 696, 880
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 345, 588, 696, 880
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 588) = 67620
GCD(345, 588) = ( 345 x 588 ) / 67620
= 345 / 588
= 345
Step2:
LCM(3, 696) = 696
GCD(3, 696) = ( 3 x 696 ) / 696
= 3 / 696
= 3
Step3:
LCM(3, 880) = 2640
GCD(3, 880) = ( 3 x 880 ) / 2640
= 3 / 880
= 3
So, Greatest Common Divisor of 345, 588, 696, 880 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 588, 696, 880
The greatest common divisor of numbers 345, 588, 696, 880 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 588, 696, 880 is 1.
1. What is the GCD of 345, 588, 696, 880?
GCD of given numbers 345, 588, 696, 880 is 1
2. How to calculate the greatest common divisor of 345, 588, 696, 880?
We can find the highest common divisor of 345, 588, 696, 880 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 345, 588, 696, 880 i.e 1.
3. How can I use the GCD of 345, 588, 696, 880Calculator?
Out the numbers 345, 588, 696, 880 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.