Online GCD Calculator is useful to find the GCD of 992, 700, 446, 924 quickly. Get the easiest ways to solve the greatest common divisor of 992, 700, 446, 924 i.e 2 in different methods as follows.
Given Input numbers are 992, 700, 446, 924
In the factoring method, we have to find the divisors of all numbers
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
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
GCD of numbers is the greatest common divisor
So, the GCD (992, 700, 446, 924) = 2.
Given numbers are 992, 700, 446, 924
The list of prime factors of all numbers are
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 446 are 2 x 223
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 992, 700, 446, 924 is 2.
Given numbers are 992, 700, 446, 924
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(992, 700) = 173600
GCD(992, 700) = ( 992 x 700 ) / 173600
= 992 / 700
= 992
Step2:
LCM(4, 446) = 892
GCD(4, 446) = ( 4 x 446 ) / 892
= 4 / 446
= 4
Step3:
LCM(2, 924) = 924
GCD(2, 924) = ( 2 x 924 ) / 924
= 2 / 924
= 2
So, Greatest Common Divisor of 992, 700, 446, 924 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 992, 700, 446, 924
The greatest common divisor of numbers 992, 700, 446, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 700, 446, 924 is 2.
1. What is the GCD of 992, 700, 446, 924?
GCD of given numbers 992, 700, 446, 924 is 2
2. How to calculate the greatest common divisor of 992, 700, 446, 924?
We can find the highest common divisor of 992, 700, 446, 924 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 992, 700, 446, 924 i.e 2.
3. How can I use the GCD of 992, 700, 446, 924Calculator?
Out the numbers 992, 700, 446, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.