Online GCD Calculator is useful to find the GCD of 522, 752, 908, 770 quickly. Get the easiest ways to solve the greatest common divisor of 522, 752, 908, 770 i.e 2 in different methods as follows.
Given Input numbers are 522, 752, 908, 770
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 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
GCD of numbers is the greatest common divisor
So, the GCD (522, 752, 908, 770) = 2.
Given numbers are 522, 752, 908, 770
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 908 are 2 x 2 x 227
Prime factors of 770 are 2 x 5 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 522, 752, 908, 770 is 2.
Given numbers are 522, 752, 908, 770
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 752) = 196272
GCD(522, 752) = ( 522 x 752 ) / 196272
= 522 / 752
= 522
Step2:
LCM(2, 908) = 908
GCD(2, 908) = ( 2 x 908 ) / 908
= 2 / 908
= 2
Step3:
LCM(2, 770) = 770
GCD(2, 770) = ( 2 x 770 ) / 770
= 2 / 770
= 2
So, Greatest Common Divisor of 522, 752, 908, 770 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 522, 752, 908, 770
The greatest common divisor of numbers 522, 752, 908, 770 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 752, 908, 770 is 2.
1. What is the GCD of 522, 752, 908, 770?
GCD of given numbers 522, 752, 908, 770 is 2
2. How to calculate the greatest common divisor of 522, 752, 908, 770?
We can find the highest common divisor of 522, 752, 908, 770 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, 752, 908, 770 i.e 2.
3. How can I use the GCD of 522, 752, 908, 770Calculator?
Out the numbers 522, 752, 908, 770 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.