Online GCD Calculator is useful to find the GCD of 675, 760, 113, 744 quickly. Get the easiest ways to solve the greatest common divisor of 675, 760, 113, 744 i.e 1 in different methods as follows.
Given Input numbers are 675, 760, 113, 744
In the factoring method, we have to find the divisors of all numbers
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 113 :
The positive integer divisors of 113 that completely divides 113 are.
1, 113
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
GCD of numbers is the greatest common divisor
So, the GCD (675, 760, 113, 744) = 1.
Given numbers are 675, 760, 113, 744
The list of prime factors of all numbers are
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 113 are 113
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 675, 760, 113, 744
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(675, 760) = 102600
GCD(675, 760) = ( 675 x 760 ) / 102600
= 675 / 760
= 675
Step2:
LCM(5, 113) = 565
GCD(5, 113) = ( 5 x 113 ) / 565
= 5 / 113
= 5
Step3:
LCM(1, 744) = 744
GCD(1, 744) = ( 1 x 744 ) / 744
= 1 / 744
= 1
So, Greatest Common Divisor of 675, 760, 113, 744 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 675, 760, 113, 744
The greatest common divisor of numbers 675, 760, 113, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 760, 113, 744 is 1.
1. What is the GCD of 675, 760, 113, 744?
GCD of given numbers 675, 760, 113, 744 is 1
2. How to calculate the greatest common divisor of 675, 760, 113, 744?
We can find the highest common divisor of 675, 760, 113, 744 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 675, 760, 113, 744 i.e 1.
3. How can I use the GCD of 675, 760, 113, 744Calculator?
Out the numbers 675, 760, 113, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.