Online GCD Calculator is useful to find the GCD of 688, 936, 727, 749 quickly. Get the easiest ways to solve the greatest common divisor of 688, 936, 727, 749 i.e 1 in different methods as follows.
Given Input numbers are 688, 936, 727, 749
In the factoring method, we have to find the divisors of all numbers
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 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 727 :
The positive integer divisors of 727 that completely divides 727 are.
1, 727
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
GCD of numbers is the greatest common divisor
So, the GCD (688, 936, 727, 749) = 1.
Given numbers are 688, 936, 727, 749
The list of prime factors of all numbers are
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 727 are 727
Prime factors of 749 are 7 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 688, 936, 727, 749
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(688, 936) = 80496
GCD(688, 936) = ( 688 x 936 ) / 80496
= 688 / 936
= 688
Step2:
LCM(8, 727) = 5816
GCD(8, 727) = ( 8 x 727 ) / 5816
= 8 / 727
= 8
Step3:
LCM(1, 749) = 749
GCD(1, 749) = ( 1 x 749 ) / 749
= 1 / 749
= 1
So, Greatest Common Divisor of 688, 936, 727, 749 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 688, 936, 727, 749
The greatest common divisor of numbers 688, 936, 727, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 936, 727, 749 is 1.
1. What is the GCD of 688, 936, 727, 749?
GCD of given numbers 688, 936, 727, 749 is 1
2. How to calculate the greatest common divisor of 688, 936, 727, 749?
We can find the highest common divisor of 688, 936, 727, 749 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 688, 936, 727, 749 i.e 1.
3. How can I use the GCD of 688, 936, 727, 749Calculator?
Out the numbers 688, 936, 727, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.