Online GCD Calculator is useful to find the GCD of 350, 722, 810, 338 quickly. Get the easiest ways to solve the greatest common divisor of 350, 722, 810, 338 i.e 2 in different methods as follows.
Given Input numbers are 350, 722, 810, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (350, 722, 810, 338) = 2.
Given numbers are 350, 722, 810, 338
The list of prime factors of all numbers are
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 722 are 2 x 19 x 19
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
Prime factors of 338 are 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 350, 722, 810, 338 is 2.
Given numbers are 350, 722, 810, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(350, 722) = 126350
GCD(350, 722) = ( 350 x 722 ) / 126350
= 350 / 722
= 350
Step2:
LCM(2, 810) = 810
GCD(2, 810) = ( 2 x 810 ) / 810
= 2 / 810
= 2
Step3:
LCM(2, 338) = 338
GCD(2, 338) = ( 2 x 338 ) / 338
= 2 / 338
= 2
So, Greatest Common Divisor of 350, 722, 810, 338 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 350, 722, 810, 338
The greatest common divisor of numbers 350, 722, 810, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 722, 810, 338 is 2.
1. What is the GCD of 350, 722, 810, 338?
GCD of given numbers 350, 722, 810, 338 is 2
2. How to calculate the greatest common divisor of 350, 722, 810, 338?
We can find the highest common divisor of 350, 722, 810, 338 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 350, 722, 810, 338 i.e 2.
3. How can I use the GCD of 350, 722, 810, 338Calculator?
Out the numbers 350, 722, 810, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.