Online GCD Calculator is useful to find the GCD of 756, 189, 688, 838 quickly. Get the easiest ways to solve the greatest common divisor of 756, 189, 688, 838 i.e 1 in different methods as follows.
Given Input numbers are 756, 189, 688, 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 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
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, 189, 688, 838) = 1.
Given numbers are 756, 189, 688, 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 189 are 3 x 3 x 3 x 7
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
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, 189, 688, 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, 189) = 756
GCD(756, 189) = ( 756 x 189 ) / 756
= 756 / 189
= 756
Step2:
LCM(189, 688) = 130032
GCD(189, 688) = ( 189 x 688 ) / 130032
= 189 / 688
= 189
Step3:
LCM(1, 838) = 838
GCD(1, 838) = ( 1 x 838 ) / 838
= 1 / 838
= 1
So, Greatest Common Divisor of 756, 189, 688, 838 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 189, 688, 838
The greatest common divisor of numbers 756, 189, 688, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 189, 688, 838 is 1.
1. What is the GCD of 756, 189, 688, 838?
GCD of given numbers 756, 189, 688, 838 is 1
2. How to calculate the greatest common divisor of 756, 189, 688, 838?
We can find the highest common divisor of 756, 189, 688, 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, 189, 688, 838 i.e 1.
3. How can I use the GCD of 756, 189, 688, 838Calculator?
Out the numbers 756, 189, 688, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.