Online GCD Calculator is useful to find the GCD of 756, 351, 687, 838 quickly. Get the easiest ways to solve the greatest common divisor of 756, 351, 687, 838 i.e 1 in different methods as follows.
Given Input numbers are 756, 351, 687, 838
In the factoring method, we have to find the divisors of all numbers
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 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
GCD of numbers is the greatest common divisor
So, the GCD (756, 351, 687, 838) = 1.
Given numbers are 756, 351, 687, 838
The list of prime factors of all numbers are
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 351 are 3 x 3 x 3 x 13
Prime factors of 687 are 3 x 229
Prime factors of 838 are 2 x 419
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 756, 351, 687, 838
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 351) = 9828
GCD(756, 351) = ( 756 x 351 ) / 9828
= 756 / 351
= 756
Step2:
LCM(27, 687) = 6183
GCD(27, 687) = ( 27 x 687 ) / 6183
= 27 / 687
= 27
Step3:
LCM(3, 838) = 2514
GCD(3, 838) = ( 3 x 838 ) / 2514
= 3 / 838
= 3
So, Greatest Common Divisor of 756, 351, 687, 838 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 351, 687, 838
The greatest common divisor of numbers 756, 351, 687, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 351, 687, 838 is 1.
1. What is the GCD of 756, 351, 687, 838?
GCD of given numbers 756, 351, 687, 838 is 1
2. How to calculate the greatest common divisor of 756, 351, 687, 838?
We can find the highest common divisor of 756, 351, 687, 838 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 756, 351, 687, 838 i.e 1.
3. How can I use the GCD of 756, 351, 687, 838Calculator?
Out the numbers 756, 351, 687, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.