Online GCD Calculator is useful to find the GCD of 924, 249, 144, 872 quickly. Get the easiest ways to solve the greatest common divisor of 924, 249, 144, 872 i.e 1 in different methods as follows.
Given Input numbers are 924, 249, 144, 872
In the factoring method, we have to find the divisors of all numbers
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 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (924, 249, 144, 872) = 1.
Given numbers are 924, 249, 144, 872
The list of prime factors of all numbers are
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 249 are 3 x 83
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 872 are 2 x 2 x 2 x 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 924, 249, 144, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 249) = 76692
GCD(924, 249) = ( 924 x 249 ) / 76692
= 924 / 249
= 924
Step2:
LCM(3, 144) = 144
GCD(3, 144) = ( 3 x 144 ) / 144
= 3 / 144
= 3
Step3:
LCM(3, 872) = 2616
GCD(3, 872) = ( 3 x 872 ) / 2616
= 3 / 872
= 3
So, Greatest Common Divisor of 924, 249, 144, 872 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 924, 249, 144, 872
The greatest common divisor of numbers 924, 249, 144, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 249, 144, 872 is 1.
1. What is the GCD of 924, 249, 144, 872?
GCD of given numbers 924, 249, 144, 872 is 1
2. How to calculate the greatest common divisor of 924, 249, 144, 872?
We can find the highest common divisor of 924, 249, 144, 872 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 924, 249, 144, 872 i.e 1.
3. How can I use the GCD of 924, 249, 144, 872Calculator?
Out the numbers 924, 249, 144, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.