Online GCD Calculator is useful to find the GCD of 747, 470, 828, 984 quickly. Get the easiest ways to solve the greatest common divisor of 747, 470, 828, 984 i.e 1 in different methods as follows.
Given Input numbers are 747, 470, 828, 984
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 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
GCD of numbers is the greatest common divisor
So, the GCD (747, 470, 828, 984) = 1.
Given numbers are 747, 470, 828, 984
The list of prime factors of all numbers are
Prime factors of 747 are 3 x 3 x 83
Prime factors of 470 are 2 x 5 x 47
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 747, 470, 828, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(747, 470) = 351090
GCD(747, 470) = ( 747 x 470 ) / 351090
= 747 / 470
= 747
Step2:
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
= 1 / 828
= 1
Step3:
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
= 1 / 984
= 1
So, Greatest Common Divisor of 747, 470, 828, 984 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 747, 470, 828, 984
The greatest common divisor of numbers 747, 470, 828, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 470, 828, 984 is 1.
1. What is the GCD of 747, 470, 828, 984?
GCD of given numbers 747, 470, 828, 984 is 1
2. How to calculate the greatest common divisor of 747, 470, 828, 984?
We can find the highest common divisor of 747, 470, 828, 984 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, 470, 828, 984 i.e 1.
3. How can I use the GCD of 747, 470, 828, 984Calculator?
Out the numbers 747, 470, 828, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.