Online GCD Calculator is useful to find the GCD of 749, 996, 477, 727 quickly. Get the easiest ways to solve the greatest common divisor of 749, 996, 477, 727 i.e 1 in different methods as follows.
Given Input numbers are 749, 996, 477, 727
In the factoring method, we have to find the divisors of all numbers
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
Divisors of 727 :
The positive integer divisors of 727 that completely divides 727 are.
1, 727
GCD of numbers is the greatest common divisor
So, the GCD (749, 996, 477, 727) = 1.
Given numbers are 749, 996, 477, 727
The list of prime factors of all numbers are
Prime factors of 749 are 7 x 107
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 477 are 3 x 3 x 53
Prime factors of 727 are 727
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 749, 996, 477, 727
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(749, 996) = 746004
GCD(749, 996) = ( 749 x 996 ) / 746004
= 749 / 996
= 749
Step2:
LCM(1, 477) = 477
GCD(1, 477) = ( 1 x 477 ) / 477
= 1 / 477
= 1
Step3:
LCM(1, 727) = 727
GCD(1, 727) = ( 1 x 727 ) / 727
= 1 / 727
= 1
So, Greatest Common Divisor of 749, 996, 477, 727 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 749, 996, 477, 727
The greatest common divisor of numbers 749, 996, 477, 727 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 996, 477, 727 is 1.
1. What is the GCD of 749, 996, 477, 727?
GCD of given numbers 749, 996, 477, 727 is 1
2. How to calculate the greatest common divisor of 749, 996, 477, 727?
We can find the highest common divisor of 749, 996, 477, 727 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 749, 996, 477, 727 i.e 1.
3. How can I use the GCD of 749, 996, 477, 727Calculator?
Out the numbers 749, 996, 477, 727 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.