Online GCD Calculator is useful to find the GCD of 896, 294, 702, 324 quickly. Get the easiest ways to solve the greatest common divisor of 896, 294, 702, 324 i.e 2 in different methods as follows.
Given Input numbers are 896, 294, 702, 324
In the factoring method, we have to find the divisors of all numbers
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
GCD of numbers is the greatest common divisor
So, the GCD (896, 294, 702, 324) = 2.
Given numbers are 896, 294, 702, 324
The list of prime factors of all numbers are
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 896, 294, 702, 324 is 2.
Given numbers are 896, 294, 702, 324
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(896, 294) = 18816
GCD(896, 294) = ( 896 x 294 ) / 18816
= 896 / 294
= 896
Step2:
LCM(14, 702) = 4914
GCD(14, 702) = ( 14 x 702 ) / 4914
= 14 / 702
= 14
Step3:
LCM(2, 324) = 324
GCD(2, 324) = ( 2 x 324 ) / 324
= 2 / 324
= 2
So, Greatest Common Divisor of 896, 294, 702, 324 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 896, 294, 702, 324
The greatest common divisor of numbers 896, 294, 702, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 294, 702, 324 is 2.
1. What is the GCD of 896, 294, 702, 324?
GCD of given numbers 896, 294, 702, 324 is 2
2. How to calculate the greatest common divisor of 896, 294, 702, 324?
We can find the highest common divisor of 896, 294, 702, 324 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 896, 294, 702, 324 i.e 2.
3. How can I use the GCD of 896, 294, 702, 324Calculator?
Out the numbers 896, 294, 702, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.