Online GCD Calculator is useful to find the GCD of 531, 550, 749, 825 quickly. Get the easiest ways to solve the greatest common divisor of 531, 550, 749, 825 i.e 1 in different methods as follows.
Given Input numbers are 531, 550, 749, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 531 :
The positive integer divisors of 531 that completely divides 531 are.
1, 3, 9, 59, 177, 531
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
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 (531, 550, 749, 825) = 1.
Given numbers are 531, 550, 749, 825
The list of prime factors of all numbers are
Prime factors of 531 are 3 x 3 x 59
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 749 are 7 x 107
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 531, 550, 749, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(531, 550) = 292050
GCD(531, 550) = ( 531 x 550 ) / 292050
= 531 / 550
= 531
Step2:
LCM(1, 749) = 749
GCD(1, 749) = ( 1 x 749 ) / 749
= 1 / 749
= 1
Step3:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
So, Greatest Common Divisor of 531, 550, 749, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 531, 550, 749, 825
The greatest common divisor of numbers 531, 550, 749, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 531, 550, 749, 825 is 1.
1. What is the GCD of 531, 550, 749, 825?
GCD of given numbers 531, 550, 749, 825 is 1
2. How to calculate the greatest common divisor of 531, 550, 749, 825?
We can find the highest common divisor of 531, 550, 749, 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 531, 550, 749, 825 i.e 1.
3. How can I use the GCD of 531, 550, 749, 825Calculator?
Out the numbers 531, 550, 749, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.