Online GCD Calculator is useful to find the GCD of 924, 168, 270, 302 quickly. Get the easiest ways to solve the greatest common divisor of 924, 168, 270, 302 i.e 2 in different methods as follows.
Given Input numbers are 924, 168, 270, 302
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 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
GCD of numbers is the greatest common divisor
So, the GCD (924, 168, 270, 302) = 2.
Given numbers are 924, 168, 270, 302
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 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 302 are 2 x 151
The highest common occurrence is 21
Therefore, GCD of 924, 168, 270, 302 is 2.
Given numbers are 924, 168, 270, 302
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 168) = 1848
GCD(924, 168) = ( 924 x 168 ) / 1848
= 924 / 168
= 924
Step2:
LCM(84, 270) = 3780
GCD(84, 270) = ( 84 x 270 ) / 3780
= 84 / 270
= 84
Step3:
LCM(6, 302) = 906
GCD(6, 302) = ( 6 x 302 ) / 906
= 6 / 302
= 6
So, Greatest Common Divisor of 924, 168, 270, 302 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 924, 168, 270, 302
The greatest common divisor of numbers 924, 168, 270, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 168, 270, 302 is 2.
1. What is the GCD of 924, 168, 270, 302?
GCD of given numbers 924, 168, 270, 302 is 2
2. How to calculate the greatest common divisor of 924, 168, 270, 302?
We can find the highest common divisor of 924, 168, 270, 302 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, 168, 270, 302 i.e 2.
3. How can I use the GCD of 924, 168, 270, 302Calculator?
Out the numbers 924, 168, 270, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.