Online GCD Calculator is useful to find the GCD of 924, 148, 870, 324 quickly. Get the easiest ways to solve the greatest common divisor of 924, 148, 870, 324 i.e 2 in different methods as follows.
Given Input numbers are 924, 148, 870, 324
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 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
GCD of numbers is the greatest common divisor
So, the GCD (924, 148, 870, 324) = 2.
Given numbers are 924, 148, 870, 324
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 148 are 2 x 2 x 37
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 924, 148, 870, 324 is 2.
Given numbers are 924, 148, 870, 324
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 148) = 34188
GCD(924, 148) = ( 924 x 148 ) / 34188
= 924 / 148
= 924
Step2:
LCM(4, 870) = 1740
GCD(4, 870) = ( 4 x 870 ) / 1740
= 4 / 870
= 4
Step3:
LCM(2, 324) = 324
GCD(2, 324) = ( 2 x 324 ) / 324
= 2 / 324
= 2
So, Greatest Common Divisor of 924, 148, 870, 324 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 924, 148, 870, 324
The greatest common divisor of numbers 924, 148, 870, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 148, 870, 324 is 2.
1. What is the GCD of 924, 148, 870, 324?
GCD of given numbers 924, 148, 870, 324 is 2
2. How to calculate the greatest common divisor of 924, 148, 870, 324?
We can find the highest common divisor of 924, 148, 870, 324 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, 148, 870, 324 i.e 2.
3. How can I use the GCD of 924, 148, 870, 324Calculator?
Out the numbers 924, 148, 870, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.