Online GCD Calculator is useful to find the GCD of 520, 721, 748, 825 quickly. Get the easiest ways to solve the greatest common divisor of 520, 721, 748, 825 i.e 1 in different methods as follows.
Given Input numbers are 520, 721, 748, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
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 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (520, 721, 748, 825) = 1.
Given numbers are 520, 721, 748, 825
The list of prime factors of all numbers are
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 721 are 7 x 103
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 825 are 3 x 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 520, 721, 748, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 721) = 374920
GCD(520, 721) = ( 520 x 721 ) / 374920
= 520 / 721
= 520
Step2:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
Step3:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
So, Greatest Common Divisor of 520, 721, 748, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 721, 748, 825
The greatest common divisor of numbers 520, 721, 748, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 721, 748, 825 is 1.
1. What is the GCD of 520, 721, 748, 825?
GCD of given numbers 520, 721, 748, 825 is 1
2. How to calculate the greatest common divisor of 520, 721, 748, 825?
We can find the highest common divisor of 520, 721, 748, 825 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 520, 721, 748, 825 i.e 1.
3. How can I use the GCD of 520, 721, 748, 825Calculator?
Out the numbers 520, 721, 748, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.