Online GCD Calculator is useful to find the GCD of 132, 924, 916, 897 quickly. Get the easiest ways to solve the greatest common divisor of 132, 924, 916, 897 i.e 1 in different methods as follows.
Given Input numbers are 132, 924, 916, 897
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 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
GCD of numbers is the greatest common divisor
So, the GCD (132, 924, 916, 897) = 1.
Given numbers are 132, 924, 916, 897
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 916 are 2 x 2 x 229
Prime factors of 897 are 3 x 13 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 132, 924, 916, 897
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 924) = 924
GCD(132, 924) = ( 132 x 924 ) / 924
= 132 / 924
= 132
Step2:
LCM(132, 916) = 30228
GCD(132, 916) = ( 132 x 916 ) / 30228
= 132 / 916
= 132
Step3:
LCM(4, 897) = 3588
GCD(4, 897) = ( 4 x 897 ) / 3588
= 4 / 897
= 4
So, Greatest Common Divisor of 132, 924, 916, 897 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 924, 916, 897
The greatest common divisor of numbers 132, 924, 916, 897 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 924, 916, 897 is 1.
1. What is the GCD of 132, 924, 916, 897?
GCD of given numbers 132, 924, 916, 897 is 1
2. How to calculate the greatest common divisor of 132, 924, 916, 897?
We can find the highest common divisor of 132, 924, 916, 897 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, 924, 916, 897 i.e 1.
3. How can I use the GCD of 132, 924, 916, 897Calculator?
Out the numbers 132, 924, 916, 897 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.