Online GCD Calculator is useful to find the GCD of 738, 723, 357, 880 quickly. Get the easiest ways to solve the greatest common divisor of 738, 723, 357, 880 i.e 1 in different methods as follows.
Given Input numbers are 738, 723, 357, 880
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
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 (738, 723, 357, 880) = 1.
Given numbers are 738, 723, 357, 880
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 723 are 3 x 241
Prime factors of 357 are 3 x 7 x 17
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 738, 723, 357, 880
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 723) = 177858
GCD(738, 723) = ( 738 x 723 ) / 177858
= 738 / 723
= 738
Step2:
LCM(3, 357) = 357
GCD(3, 357) = ( 3 x 357 ) / 357
= 3 / 357
= 3
Step3:
LCM(3, 880) = 2640
GCD(3, 880) = ( 3 x 880 ) / 2640
= 3 / 880
= 3
So, Greatest Common Divisor of 738, 723, 357, 880 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 723, 357, 880
The greatest common divisor of numbers 738, 723, 357, 880 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 723, 357, 880 is 1.
1. What is the GCD of 738, 723, 357, 880?
GCD of given numbers 738, 723, 357, 880 is 1
2. How to calculate the greatest common divisor of 738, 723, 357, 880?
We can find the highest common divisor of 738, 723, 357, 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 738, 723, 357, 880 i.e 1.
3. How can I use the GCD of 738, 723, 357, 880Calculator?
Out the numbers 738, 723, 357, 880 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.