Online GCD Calculator is useful to find the GCD of 924, 686, 112 quickly. Get the easiest ways to solve the greatest common divisor of 924, 686, 112 i.e 14 in different methods as follows.
Given Input numbers are 924, 686, 112
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 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (924, 686, 112) = 14.
Given numbers are 924, 686, 112
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 686 are 2 x 7 x 7 x 7
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21 x 71
Therefore, GCD of 924, 686, 112 is 14.
Given numbers are 924, 686, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 686) = 45276
GCD(924, 686) = ( 924 x 686 ) / 45276
= 924 / 686
= 924
Step2:
LCM(14, 112) = 112
GCD(14, 112) = ( 14 x 112 ) / 112
= 14 / 112
= 14
So, Greatest Common Divisor of 924, 686, 112 is 14
Here are some samples of GCD of Numbers calculations.
Given numbers are 924, 686, 112
The greatest common divisor of numbers 924, 686, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 686, 112 is 14.
1. What is the GCD of 924, 686, 112?
GCD of given numbers 924, 686, 112 is 14
2. How to calculate the greatest common divisor of 924, 686, 112?
We can find the highest common divisor of 924, 686, 112 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, 686, 112 i.e 14.
3. How can I use the GCD of 924, 686, 112Calculator?
Out the numbers 924, 686, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.