Online GCD Calculator is useful to find the GCD of 896, 212, 142, 238 quickly. Get the easiest ways to solve the greatest common divisor of 896, 212, 142, 238 i.e 2 in different methods as follows.
Given Input numbers are 896, 212, 142, 238
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 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
GCD of numbers is the greatest common divisor
So, the GCD (896, 212, 142, 238) = 2.
Given numbers are 896, 212, 142, 238
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 212 are 2 x 2 x 53
Prime factors of 142 are 2 x 71
Prime factors of 238 are 2 x 7 x 17
The highest common occurrence is 21
Therefore, GCD of 896, 212, 142, 238 is 2.
Given numbers are 896, 212, 142, 238
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(896, 212) = 47488
GCD(896, 212) = ( 896 x 212 ) / 47488
= 896 / 212
= 896
Step2:
LCM(4, 142) = 284
GCD(4, 142) = ( 4 x 142 ) / 284
= 4 / 142
= 4
Step3:
LCM(2, 238) = 238
GCD(2, 238) = ( 2 x 238 ) / 238
= 2 / 238
= 2
So, Greatest Common Divisor of 896, 212, 142, 238 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 896, 212, 142, 238
The greatest common divisor of numbers 896, 212, 142, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 212, 142, 238 is 2.
1. What is the GCD of 896, 212, 142, 238?
GCD of given numbers 896, 212, 142, 238 is 2
2. How to calculate the greatest common divisor of 896, 212, 142, 238?
We can find the highest common divisor of 896, 212, 142, 238 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, 212, 142, 238 i.e 2.
3. How can I use the GCD of 896, 212, 142, 238Calculator?
Out the numbers 896, 212, 142, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.