Online GCD Calculator is useful to find the GCD of 900, 762, 522 quickly. Get the easiest ways to solve the greatest common divisor of 900, 762, 522 i.e 6 in different methods as follows.
Given Input numbers are 900, 762, 522
In the factoring method, we have to find the divisors of all numbers
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
GCD of numbers is the greatest common divisor
So, the GCD (900, 762, 522) = 6.
Given numbers are 900, 762, 522
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 762 are 2 x 3 x 127
Prime factors of 522 are 2 x 3 x 3 x 29
The highest common occurrence is 21 x 31
Therefore, GCD of 900, 762, 522 is 6.
Given numbers are 900, 762, 522
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 762) = 114300
GCD(900, 762) = ( 900 x 762 ) / 114300
= 900 / 762
= 900
Step2:
LCM(6, 522) = 522
GCD(6, 522) = ( 6 x 522 ) / 522
= 6 / 522
= 6
So, Greatest Common Divisor of 900, 762, 522 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 762, 522
The greatest common divisor of numbers 900, 762, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 762, 522 is 6.
1. What is the GCD of 900, 762, 522?
GCD of given numbers 900, 762, 522 is 6
2. How to calculate the greatest common divisor of 900, 762, 522?
We can find the highest common divisor of 900, 762, 522 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 900, 762, 522 i.e 6.
3. How can I use the GCD of 900, 762, 522Calculator?
Out the numbers 900, 762, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.