Online GCD Calculator is useful to find the GCD of 924, 356, 376, 772 quickly. Get the easiest ways to solve the greatest common divisor of 924, 356, 376, 772 i.e 4 in different methods as follows.
Given Input numbers are 924, 356, 376, 772
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 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
GCD of numbers is the greatest common divisor
So, the GCD (924, 356, 376, 772) = 4.
Given numbers are 924, 356, 376, 772
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 356 are 2 x 2 x 89
Prime factors of 376 are 2 x 2 x 2 x 47
Prime factors of 772 are 2 x 2 x 193
The highest common occurrence is 22
Therefore, GCD of 924, 356, 376, 772 is 4.
Given numbers are 924, 356, 376, 772
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 356) = 82236
GCD(924, 356) = ( 924 x 356 ) / 82236
= 924 / 356
= 924
Step2:
LCM(4, 376) = 376
GCD(4, 376) = ( 4 x 376 ) / 376
= 4 / 376
= 4
Step3:
LCM(4, 772) = 772
GCD(4, 772) = ( 4 x 772 ) / 772
= 4 / 772
= 4
So, Greatest Common Divisor of 924, 356, 376, 772 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 924, 356, 376, 772
The greatest common divisor of numbers 924, 356, 376, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 356, 376, 772 is 4.
1. What is the GCD of 924, 356, 376, 772?
GCD of given numbers 924, 356, 376, 772 is 4
2. How to calculate the greatest common divisor of 924, 356, 376, 772?
We can find the highest common divisor of 924, 356, 376, 772 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, 356, 376, 772 i.e 4.
3. How can I use the GCD of 924, 356, 376, 772Calculator?
Out the numbers 924, 356, 376, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.