Online GCD Calculator is useful to find the GCD of 426, 896, 343, 471 quickly. Get the easiest ways to solve the greatest common divisor of 426, 896, 343, 471 i.e 1 in different methods as follows.
Given Input numbers are 426, 896, 343, 471
In the factoring method, we have to find the divisors of all numbers
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
GCD of numbers is the greatest common divisor
So, the GCD (426, 896, 343, 471) = 1.
Given numbers are 426, 896, 343, 471
The list of prime factors of all numbers are
Prime factors of 426 are 2 x 3 x 71
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 343 are 7 x 7 x 7
Prime factors of 471 are 3 x 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 426, 896, 343, 471
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(426, 896) = 190848
GCD(426, 896) = ( 426 x 896 ) / 190848
= 426 / 896
= 426
Step2:
LCM(2, 343) = 686
GCD(2, 343) = ( 2 x 343 ) / 686
= 2 / 343
= 2
Step3:
LCM(1, 471) = 471
GCD(1, 471) = ( 1 x 471 ) / 471
= 1 / 471
= 1
So, Greatest Common Divisor of 426, 896, 343, 471 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 426, 896, 343, 471
The greatest common divisor of numbers 426, 896, 343, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 896, 343, 471 is 1.
1. What is the GCD of 426, 896, 343, 471?
GCD of given numbers 426, 896, 343, 471 is 1
2. How to calculate the greatest common divisor of 426, 896, 343, 471?
We can find the highest common divisor of 426, 896, 343, 471 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 426, 896, 343, 471 i.e 1.
3. How can I use the GCD of 426, 896, 343, 471Calculator?
Out the numbers 426, 896, 343, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.