Online GCD Calculator is useful to find the GCD of 924, 936, 63, 147 quickly. Get the easiest ways to solve the greatest common divisor of 924, 936, 63, 147 i.e 3 in different methods as follows.
Given Input numbers are 924, 936, 63, 147
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 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 63 :
The positive integer divisors of 63 that completely divides 63 are.
1, 3, 7, 9, 21, 63
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
GCD of numbers is the greatest common divisor
So, the GCD (924, 936, 63, 147) = 3.
Given numbers are 924, 936, 63, 147
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 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 63 are 3 x 3 x 7
Prime factors of 147 are 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 924, 936, 63, 147 is 3.
Given numbers are 924, 936, 63, 147
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 936) = 72072
GCD(924, 936) = ( 924 x 936 ) / 72072
= 924 / 936
= 924
Step2:
LCM(12, 63) = 252
GCD(12, 63) = ( 12 x 63 ) / 252
= 12 / 63
= 12
Step3:
LCM(3, 147) = 147
GCD(3, 147) = ( 3 x 147 ) / 147
= 3 / 147
= 3
So, Greatest Common Divisor of 924, 936, 63, 147 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 924, 936, 63, 147
The greatest common divisor of numbers 924, 936, 63, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 936, 63, 147 is 3.
1. What is the GCD of 924, 936, 63, 147?
GCD of given numbers 924, 936, 63, 147 is 3
2. How to calculate the greatest common divisor of 924, 936, 63, 147?
We can find the highest common divisor of 924, 936, 63, 147 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, 936, 63, 147 i.e 3.
3. How can I use the GCD of 924, 936, 63, 147Calculator?
Out the numbers 924, 936, 63, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.