Online GCD Calculator is useful to find the GCD of 522, 710, 364, 762 quickly. Get the easiest ways to solve the greatest common divisor of 522, 710, 364, 762 i.e 2 in different methods as follows.
Given Input numbers are 522, 710, 364, 762
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
GCD of numbers is the greatest common divisor
So, the GCD (522, 710, 364, 762) = 2.
Given numbers are 522, 710, 364, 762
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 710 are 2 x 5 x 71
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 762 are 2 x 3 x 127
The highest common occurrence is 21
Therefore, GCD of 522, 710, 364, 762 is 2.
Given numbers are 522, 710, 364, 762
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 710) = 185310
GCD(522, 710) = ( 522 x 710 ) / 185310
= 522 / 710
= 522
Step2:
LCM(2, 364) = 364
GCD(2, 364) = ( 2 x 364 ) / 364
= 2 / 364
= 2
Step3:
LCM(2, 762) = 762
GCD(2, 762) = ( 2 x 762 ) / 762
= 2 / 762
= 2
So, Greatest Common Divisor of 522, 710, 364, 762 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 522, 710, 364, 762
The greatest common divisor of numbers 522, 710, 364, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 710, 364, 762 is 2.
1. What is the GCD of 522, 710, 364, 762?
GCD of given numbers 522, 710, 364, 762 is 2
2. How to calculate the greatest common divisor of 522, 710, 364, 762?
We can find the highest common divisor of 522, 710, 364, 762 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 522, 710, 364, 762 i.e 2.
3. How can I use the GCD of 522, 710, 364, 762Calculator?
Out the numbers 522, 710, 364, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.