Online GCD Calculator is useful to find the GCD of 748, 671, 312, 824 quickly. Get the easiest ways to solve the greatest common divisor of 748, 671, 312, 824 i.e 1 in different methods as follows.
Given Input numbers are 748, 671, 312, 824
In the factoring method, we have to find the divisors of all numbers
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 671 :
The positive integer divisors of 671 that completely divides 671 are.
1, 11, 61, 671
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
GCD of numbers is the greatest common divisor
So, the GCD (748, 671, 312, 824) = 1.
Given numbers are 748, 671, 312, 824
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 671 are 11 x 61
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 824 are 2 x 2 x 2 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 671, 312, 824
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 671) = 45628
GCD(748, 671) = ( 748 x 671 ) / 45628
= 748 / 671
= 748
Step2:
LCM(11, 312) = 3432
GCD(11, 312) = ( 11 x 312 ) / 3432
= 11 / 312
= 11
Step3:
LCM(1, 824) = 824
GCD(1, 824) = ( 1 x 824 ) / 824
= 1 / 824
= 1
So, Greatest Common Divisor of 748, 671, 312, 824 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 671, 312, 824
The greatest common divisor of numbers 748, 671, 312, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 671, 312, 824 is 1.
1. What is the GCD of 748, 671, 312, 824?
GCD of given numbers 748, 671, 312, 824 is 1
2. How to calculate the greatest common divisor of 748, 671, 312, 824?
We can find the highest common divisor of 748, 671, 312, 824 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 748, 671, 312, 824 i.e 1.
3. How can I use the GCD of 748, 671, 312, 824Calculator?
Out the numbers 748, 671, 312, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.