Online GCD Calculator is useful to find the GCD of 369, 725, 280, 730 quickly. Get the easiest ways to solve the greatest common divisor of 369, 725, 280, 730 i.e 1 in different methods as follows.
Given Input numbers are 369, 725, 280, 730
In the factoring method, we have to find the divisors of all numbers
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
GCD of numbers is the greatest common divisor
So, the GCD (369, 725, 280, 730) = 1.
Given numbers are 369, 725, 280, 730
The list of prime factors of all numbers are
Prime factors of 369 are 3 x 3 x 41
Prime factors of 725 are 5 x 5 x 29
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 730 are 2 x 5 x 73
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 369, 725, 280, 730
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(369, 725) = 267525
GCD(369, 725) = ( 369 x 725 ) / 267525
= 369 / 725
= 369
Step2:
LCM(1, 280) = 280
GCD(1, 280) = ( 1 x 280 ) / 280
= 1 / 280
= 1
Step3:
LCM(1, 730) = 730
GCD(1, 730) = ( 1 x 730 ) / 730
= 1 / 730
= 1
So, Greatest Common Divisor of 369, 725, 280, 730 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 369, 725, 280, 730
The greatest common divisor of numbers 369, 725, 280, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 725, 280, 730 is 1.
1. What is the GCD of 369, 725, 280, 730?
GCD of given numbers 369, 725, 280, 730 is 1
2. How to calculate the greatest common divisor of 369, 725, 280, 730?
We can find the highest common divisor of 369, 725, 280, 730 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 369, 725, 280, 730 i.e 1.
3. How can I use the GCD of 369, 725, 280, 730Calculator?
Out the numbers 369, 725, 280, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.