Online GCD Calculator is useful to find the GCD of 338, 632, 460, 756 quickly. Get the easiest ways to solve the greatest common divisor of 338, 632, 460, 756 i.e 2 in different methods as follows.
Given Input numbers are 338, 632, 460, 756
In the factoring method, we have to find the divisors of all numbers
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
GCD of numbers is the greatest common divisor
So, the GCD (338, 632, 460, 756) = 2.
Given numbers are 338, 632, 460, 756
The list of prime factors of all numbers are
Prime factors of 338 are 2 x 13 x 13
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 338, 632, 460, 756 is 2.
Given numbers are 338, 632, 460, 756
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(338, 632) = 106808
GCD(338, 632) = ( 338 x 632 ) / 106808
= 338 / 632
= 338
Step2:
LCM(2, 460) = 460
GCD(2, 460) = ( 2 x 460 ) / 460
= 2 / 460
= 2
Step3:
LCM(2, 756) = 756
GCD(2, 756) = ( 2 x 756 ) / 756
= 2 / 756
= 2
So, Greatest Common Divisor of 338, 632, 460, 756 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 338, 632, 460, 756
The greatest common divisor of numbers 338, 632, 460, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 632, 460, 756 is 2.
1. What is the GCD of 338, 632, 460, 756?
GCD of given numbers 338, 632, 460, 756 is 2
2. How to calculate the greatest common divisor of 338, 632, 460, 756?
We can find the highest common divisor of 338, 632, 460, 756 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 338, 632, 460, 756 i.e 2.
3. How can I use the GCD of 338, 632, 460, 756Calculator?
Out the numbers 338, 632, 460, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.