Online GCD Calculator is useful to find the GCD of 506, 756, 705, 398 quickly. Get the easiest ways to solve the greatest common divisor of 506, 756, 705, 398 i.e 1 in different methods as follows.
Given Input numbers are 506, 756, 705, 398
In the factoring method, we have to find the divisors of all numbers
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
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
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
GCD of numbers is the greatest common divisor
So, the GCD (506, 756, 705, 398) = 1.
Given numbers are 506, 756, 705, 398
The list of prime factors of all numbers are
Prime factors of 506 are 2 x 11 x 23
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 705 are 3 x 5 x 47
Prime factors of 398 are 2 x 199
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 506, 756, 705, 398
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(506, 756) = 191268
GCD(506, 756) = ( 506 x 756 ) / 191268
= 506 / 756
= 506
Step2:
LCM(2, 705) = 1410
GCD(2, 705) = ( 2 x 705 ) / 1410
= 2 / 705
= 2
Step3:
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
= 1 / 398
= 1
So, Greatest Common Divisor of 506, 756, 705, 398 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 506, 756, 705, 398
The greatest common divisor of numbers 506, 756, 705, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 756, 705, 398 is 1.
1. What is the GCD of 506, 756, 705, 398?
GCD of given numbers 506, 756, 705, 398 is 1
2. How to calculate the greatest common divisor of 506, 756, 705, 398?
We can find the highest common divisor of 506, 756, 705, 398 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 506, 756, 705, 398 i.e 1.
3. How can I use the GCD of 506, 756, 705, 398Calculator?
Out the numbers 506, 756, 705, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.