Online GCD Calculator is useful to find the GCD of 920, 791, 506, 720 quickly. Get the easiest ways to solve the greatest common divisor of 920, 791, 506, 720 i.e 1 in different methods as follows.
Given Input numbers are 920, 791, 506, 720
In the factoring method, we have to find the divisors of all numbers
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 791 :
The positive integer divisors of 791 that completely divides 791 are.
1, 7, 113, 791
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
GCD of numbers is the greatest common divisor
So, the GCD (920, 791, 506, 720) = 1.
Given numbers are 920, 791, 506, 720
The list of prime factors of all numbers are
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 791 are 7 x 113
Prime factors of 506 are 2 x 11 x 23
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 920, 791, 506, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(920, 791) = 727720
GCD(920, 791) = ( 920 x 791 ) / 727720
= 920 / 791
= 920
Step2:
LCM(1, 506) = 506
GCD(1, 506) = ( 1 x 506 ) / 506
= 1 / 506
= 1
Step3:
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
= 1 / 720
= 1
So, Greatest Common Divisor of 920, 791, 506, 720 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 920, 791, 506, 720
The greatest common divisor of numbers 920, 791, 506, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 791, 506, 720 is 1.
1. What is the GCD of 920, 791, 506, 720?
GCD of given numbers 920, 791, 506, 720 is 1
2. How to calculate the greatest common divisor of 920, 791, 506, 720?
We can find the highest common divisor of 920, 791, 506, 720 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 920, 791, 506, 720 i.e 1.
3. How can I use the GCD of 920, 791, 506, 720Calculator?
Out the numbers 920, 791, 506, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.