Online GCD Calculator is useful to find the GCD of 924, 434, 854, 358 quickly. Get the easiest ways to solve the greatest common divisor of 924, 434, 854, 358 i.e 2 in different methods as follows.
Given Input numbers are 924, 434, 854, 358
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 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
GCD of numbers is the greatest common divisor
So, the GCD (924, 434, 854, 358) = 2.
Given numbers are 924, 434, 854, 358
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 434 are 2 x 7 x 31
Prime factors of 854 are 2 x 7 x 61
Prime factors of 358 are 2 x 179
The highest common occurrence is 21
Therefore, GCD of 924, 434, 854, 358 is 2.
Given numbers are 924, 434, 854, 358
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 434) = 28644
GCD(924, 434) = ( 924 x 434 ) / 28644
= 924 / 434
= 924
Step2:
LCM(14, 854) = 854
GCD(14, 854) = ( 14 x 854 ) / 854
= 14 / 854
= 14
Step3:
LCM(14, 358) = 2506
GCD(14, 358) = ( 14 x 358 ) / 2506
= 14 / 358
= 14
So, Greatest Common Divisor of 924, 434, 854, 358 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 924, 434, 854, 358
The greatest common divisor of numbers 924, 434, 854, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 434, 854, 358 is 2.
1. What is the GCD of 924, 434, 854, 358?
GCD of given numbers 924, 434, 854, 358 is 2
2. How to calculate the greatest common divisor of 924, 434, 854, 358?
We can find the highest common divisor of 924, 434, 854, 358 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, 434, 854, 358 i.e 2.
3. How can I use the GCD of 924, 434, 854, 358Calculator?
Out the numbers 924, 434, 854, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.