Online GCD Calculator is useful to find the GCD of 782, 302, 522, 132 quickly. Get the easiest ways to solve the greatest common divisor of 782, 302, 522, 132 i.e 2 in different methods as follows.
Given Input numbers are 782, 302, 522, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
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 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD of numbers is the greatest common divisor
So, the GCD (782, 302, 522, 132) = 2.
Given numbers are 782, 302, 522, 132
The list of prime factors of all numbers are
Prime factors of 782 are 2 x 17 x 23
Prime factors of 302 are 2 x 151
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 132 are 2 x 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 782, 302, 522, 132 is 2.
Given numbers are 782, 302, 522, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(782, 302) = 118082
GCD(782, 302) = ( 782 x 302 ) / 118082
= 782 / 302
= 782
Step2:
LCM(2, 522) = 522
GCD(2, 522) = ( 2 x 522 ) / 522
= 2 / 522
= 2
Step3:
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
= 2 / 132
= 2
So, Greatest Common Divisor of 782, 302, 522, 132 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 782, 302, 522, 132
The greatest common divisor of numbers 782, 302, 522, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 302, 522, 132 is 2.
1. What is the GCD of 782, 302, 522, 132?
GCD of given numbers 782, 302, 522, 132 is 2
2. How to calculate the greatest common divisor of 782, 302, 522, 132?
We can find the highest common divisor of 782, 302, 522, 132 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 782, 302, 522, 132 i.e 2.
3. How can I use the GCD of 782, 302, 522, 132Calculator?
Out the numbers 782, 302, 522, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.