Online GCD Calculator is useful to find the GCD of 661, 825, 865, 343 quickly. Get the easiest ways to solve the greatest common divisor of 661, 825, 865, 343 i.e 1 in different methods as follows.
Given Input numbers are 661, 825, 865, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 661 :
The positive integer divisors of 661 that completely divides 661 are.
1, 661
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 865 :
The positive integer divisors of 865 that completely divides 865 are.
1, 5, 173, 865
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 (661, 825, 865, 343) = 1.
Given numbers are 661, 825, 865, 343
The list of prime factors of all numbers are
Prime factors of 661 are 661
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 865 are 5 x 173
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 661, 825, 865, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(661, 825) = 545325
GCD(661, 825) = ( 661 x 825 ) / 545325
= 661 / 825
= 661
Step2:
LCM(1, 865) = 865
GCD(1, 865) = ( 1 x 865 ) / 865
= 1 / 865
= 1
Step3:
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
= 1 / 343
= 1
So, Greatest Common Divisor of 661, 825, 865, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 661, 825, 865, 343
The greatest common divisor of numbers 661, 825, 865, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 661, 825, 865, 343 is 1.
1. What is the GCD of 661, 825, 865, 343?
GCD of given numbers 661, 825, 865, 343 is 1
2. How to calculate the greatest common divisor of 661, 825, 865, 343?
We can find the highest common divisor of 661, 825, 865, 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 661, 825, 865, 343 i.e 1.
3. How can I use the GCD of 661, 825, 865, 343Calculator?
Out the numbers 661, 825, 865, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.