Online GCD Calculator is useful to find the GCD of 747, 916, 973, 960 quickly. Get the easiest ways to solve the greatest common divisor of 747, 916, 973, 960 i.e 1 in different methods as follows.
Given Input numbers are 747, 916, 973, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 973 :
The positive integer divisors of 973 that completely divides 973 are.
1, 7, 139, 973
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (747, 916, 973, 960) = 1.
Given numbers are 747, 916, 973, 960
The list of prime factors of all numbers are
Prime factors of 747 are 3 x 3 x 83
Prime factors of 916 are 2 x 2 x 229
Prime factors of 973 are 7 x 139
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 747, 916, 973, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(747, 916) = 684252
GCD(747, 916) = ( 747 x 916 ) / 684252
= 747 / 916
= 747
Step2:
LCM(1, 973) = 973
GCD(1, 973) = ( 1 x 973 ) / 973
= 1 / 973
= 1
Step3:
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
= 1 / 960
= 1
So, Greatest Common Divisor of 747, 916, 973, 960 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 747, 916, 973, 960
The greatest common divisor of numbers 747, 916, 973, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 916, 973, 960 is 1.
1. What is the GCD of 747, 916, 973, 960?
GCD of given numbers 747, 916, 973, 960 is 1
2. How to calculate the greatest common divisor of 747, 916, 973, 960?
We can find the highest common divisor of 747, 916, 973, 960 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 747, 916, 973, 960 i.e 1.
3. How can I use the GCD of 747, 916, 973, 960Calculator?
Out the numbers 747, 916, 973, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.