Online GCD Calculator is useful to find the GCD of 225, 766, 689, 343 quickly. Get the easiest ways to solve the greatest common divisor of 225, 766, 689, 343 i.e 1 in different methods as follows.
Given Input numbers are 225, 766, 689, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 766 :
The positive integer divisors of 766 that completely divides 766 are.
1, 2, 383, 766
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (225, 766, 689, 343) = 1.
Given numbers are 225, 766, 689, 343
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 766 are 2 x 383
Prime factors of 689 are 13 x 53
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 225, 766, 689, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 766) = 172350
GCD(225, 766) = ( 225 x 766 ) / 172350
= 225 / 766
= 225
Step2:
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
= 1 / 689
= 1
Step3:
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
= 1 / 343
= 1
So, Greatest Common Divisor of 225, 766, 689, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 225, 766, 689, 343
The greatest common divisor of numbers 225, 766, 689, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 766, 689, 343 is 1.
1. What is the GCD of 225, 766, 689, 343?
GCD of given numbers 225, 766, 689, 343 is 1
2. How to calculate the greatest common divisor of 225, 766, 689, 343?
We can find the highest common divisor of 225, 766, 689, 343 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 225, 766, 689, 343 i.e 1.
3. How can I use the GCD of 225, 766, 689, 343Calculator?
Out the numbers 225, 766, 689, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.