Online GCD Calculator is useful to find the GCD of 132, 772, 518, 692 quickly. Get the easiest ways to solve the greatest common divisor of 132, 772, 518, 692 i.e 2 in different methods as follows.
Given Input numbers are 132, 772, 518, 692
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
GCD of numbers is the greatest common divisor
So, the GCD (132, 772, 518, 692) = 2.
Given numbers are 132, 772, 518, 692
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 772 are 2 x 2 x 193
Prime factors of 518 are 2 x 7 x 37
Prime factors of 692 are 2 x 2 x 173
The highest common occurrence is 21
Therefore, GCD of 132, 772, 518, 692 is 2.
Given numbers are 132, 772, 518, 692
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 772) = 25476
GCD(132, 772) = ( 132 x 772 ) / 25476
= 132 / 772
= 132
Step2:
LCM(4, 518) = 1036
GCD(4, 518) = ( 4 x 518 ) / 1036
= 4 / 518
= 4
Step3:
LCM(2, 692) = 692
GCD(2, 692) = ( 2 x 692 ) / 692
= 2 / 692
= 2
So, Greatest Common Divisor of 132, 772, 518, 692 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 772, 518, 692
The greatest common divisor of numbers 132, 772, 518, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 772, 518, 692 is 2.
1. What is the GCD of 132, 772, 518, 692?
GCD of given numbers 132, 772, 518, 692 is 2
2. How to calculate the greatest common divisor of 132, 772, 518, 692?
We can find the highest common divisor of 132, 772, 518, 692 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 132, 772, 518, 692 i.e 2.
3. How can I use the GCD of 132, 772, 518, 692Calculator?
Out the numbers 132, 772, 518, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.