Online GCD Calculator is useful to find the GCD of 426, 466, 782, 738 quickly. Get the easiest ways to solve the greatest common divisor of 426, 466, 782, 738 i.e 2 in different methods as follows.
Given Input numbers are 426, 466, 782, 738
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 466 :
The positive integer divisors of 466 that completely divides 466 are.
1, 2, 233, 466
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
GCD of numbers is the greatest common divisor
So, the GCD (426, 466, 782, 738) = 2.
Given numbers are 426, 466, 782, 738
The list of prime factors of all numbers are
Prime factors of 426 are 2 x 3 x 71
Prime factors of 466 are 2 x 233
Prime factors of 782 are 2 x 17 x 23
Prime factors of 738 are 2 x 3 x 3 x 41
The highest common occurrence is 21
Therefore, GCD of 426, 466, 782, 738 is 2.
Given numbers are 426, 466, 782, 738
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(426, 466) = 99258
GCD(426, 466) = ( 426 x 466 ) / 99258
= 426 / 466
= 426
Step2:
LCM(2, 782) = 782
GCD(2, 782) = ( 2 x 782 ) / 782
= 2 / 782
= 2
Step3:
LCM(2, 738) = 738
GCD(2, 738) = ( 2 x 738 ) / 738
= 2 / 738
= 2
So, Greatest Common Divisor of 426, 466, 782, 738 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 426, 466, 782, 738
The greatest common divisor of numbers 426, 466, 782, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 466, 782, 738 is 2.
1. What is the GCD of 426, 466, 782, 738?
GCD of given numbers 426, 466, 782, 738 is 2
2. How to calculate the greatest common divisor of 426, 466, 782, 738?
We can find the highest common divisor of 426, 466, 782, 738 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, 466, 782, 738 i.e 2.
3. How can I use the GCD of 426, 466, 782, 738Calculator?
Out the numbers 426, 466, 782, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.