Online GCD Calculator is useful to find the GCD of 340, 652, 238, 726 quickly. Get the easiest ways to solve the greatest common divisor of 340, 652, 238, 726 i.e 2 in different methods as follows.
Given Input numbers are 340, 652, 238, 726
In the factoring method, we have to find the divisors of all numbers
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
GCD of numbers is the greatest common divisor
So, the GCD (340, 652, 238, 726) = 2.
Given numbers are 340, 652, 238, 726
The list of prime factors of all numbers are
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 652 are 2 x 2 x 163
Prime factors of 238 are 2 x 7 x 17
Prime factors of 726 are 2 x 3 x 11 x 11
The highest common occurrence is 21
Therefore, GCD of 340, 652, 238, 726 is 2.
Given numbers are 340, 652, 238, 726
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(340, 652) = 55420
GCD(340, 652) = ( 340 x 652 ) / 55420
= 340 / 652
= 340
Step2:
LCM(4, 238) = 476
GCD(4, 238) = ( 4 x 238 ) / 476
= 4 / 238
= 4
Step3:
LCM(2, 726) = 726
GCD(2, 726) = ( 2 x 726 ) / 726
= 2 / 726
= 2
So, Greatest Common Divisor of 340, 652, 238, 726 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 340, 652, 238, 726
The greatest common divisor of numbers 340, 652, 238, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 652, 238, 726 is 2.
1. What is the GCD of 340, 652, 238, 726?
GCD of given numbers 340, 652, 238, 726 is 2
2. How to calculate the greatest common divisor of 340, 652, 238, 726?
We can find the highest common divisor of 340, 652, 238, 726 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 340, 652, 238, 726 i.e 2.
3. How can I use the GCD of 340, 652, 238, 726Calculator?
Out the numbers 340, 652, 238, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.