Online GCD Calculator is useful to find the GCD of 343, 484, 772, 889 quickly. Get the easiest ways to solve the greatest common divisor of 343, 484, 772, 889 i.e 1 in different methods as follows.
Given Input numbers are 343, 484, 772, 889
In the factoring method, we have to find the divisors of all numbers
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 889 :
The positive integer divisors of 889 that completely divides 889 are.
1, 7, 127, 889
GCD of numbers is the greatest common divisor
So, the GCD (343, 484, 772, 889) = 1.
Given numbers are 343, 484, 772, 889
The list of prime factors of all numbers are
Prime factors of 343 are 7 x 7 x 7
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 772 are 2 x 2 x 193
Prime factors of 889 are 7 x 127
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 343, 484, 772, 889
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(343, 484) = 166012
GCD(343, 484) = ( 343 x 484 ) / 166012
= 343 / 484
= 343
Step2:
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
= 1 / 772
= 1
Step3:
LCM(1, 889) = 889
GCD(1, 889) = ( 1 x 889 ) / 889
= 1 / 889
= 1
So, Greatest Common Divisor of 343, 484, 772, 889 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 343, 484, 772, 889
The greatest common divisor of numbers 343, 484, 772, 889 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 484, 772, 889 is 1.
1. What is the GCD of 343, 484, 772, 889?
GCD of given numbers 343, 484, 772, 889 is 1
2. How to calculate the greatest common divisor of 343, 484, 772, 889?
We can find the highest common divisor of 343, 484, 772, 889 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 343, 484, 772, 889 i.e 1.
3. How can I use the GCD of 343, 484, 772, 889Calculator?
Out the numbers 343, 484, 772, 889 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.