Online GCD Calculator is useful to find the GCD of 132, 600, 616, 169 quickly. Get the easiest ways to solve the greatest common divisor of 132, 600, 616, 169 i.e 1 in different methods as follows.
Given Input numbers are 132, 600, 616, 169
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 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
GCD of numbers is the greatest common divisor
So, the GCD (132, 600, 616, 169) = 1.
Given numbers are 132, 600, 616, 169
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 169 are 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 132, 600, 616, 169
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 600) = 6600
GCD(132, 600) = ( 132 x 600 ) / 6600
= 132 / 600
= 132
Step2:
LCM(12, 616) = 1848
GCD(12, 616) = ( 12 x 616 ) / 1848
= 12 / 616
= 12
Step3:
LCM(4, 169) = 676
GCD(4, 169) = ( 4 x 169 ) / 676
= 4 / 169
= 4
So, Greatest Common Divisor of 132, 600, 616, 169 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 600, 616, 169
The greatest common divisor of numbers 132, 600, 616, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 600, 616, 169 is 1.
1. What is the GCD of 132, 600, 616, 169?
GCD of given numbers 132, 600, 616, 169 is 1
2. How to calculate the greatest common divisor of 132, 600, 616, 169?
We can find the highest common divisor of 132, 600, 616, 169 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, 600, 616, 169 i.e 1.
3. How can I use the GCD of 132, 600, 616, 169Calculator?
Out the numbers 132, 600, 616, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.