Online GCD Calculator is useful to find the GCD of 426, 815, 343, 748 quickly. Get the easiest ways to solve the greatest common divisor of 426, 815, 343, 748 i.e 1 in different methods as follows.
Given Input numbers are 426, 815, 343, 748
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 815 :
The positive integer divisors of 815 that completely divides 815 are.
1, 5, 163, 815
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
GCD of numbers is the greatest common divisor
So, the GCD (426, 815, 343, 748) = 1.
Given numbers are 426, 815, 343, 748
The list of prime factors of all numbers are
Prime factors of 426 are 2 x 3 x 71
Prime factors of 815 are 5 x 163
Prime factors of 343 are 7 x 7 x 7
Prime factors of 748 are 2 x 2 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 426, 815, 343, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(426, 815) = 347190
GCD(426, 815) = ( 426 x 815 ) / 347190
= 426 / 815
= 426
Step2:
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
= 1 / 343
= 1
Step3:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
So, Greatest Common Divisor of 426, 815, 343, 748 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 426, 815, 343, 748
The greatest common divisor of numbers 426, 815, 343, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 815, 343, 748 is 1.
1. What is the GCD of 426, 815, 343, 748?
GCD of given numbers 426, 815, 343, 748 is 1
2. How to calculate the greatest common divisor of 426, 815, 343, 748?
We can find the highest common divisor of 426, 815, 343, 748 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, 815, 343, 748 i.e 1.
3. How can I use the GCD of 426, 815, 343, 748Calculator?
Out the numbers 426, 815, 343, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.