Online GCD Calculator is useful to find the GCD of 142, 326, 896, 976 quickly. Get the easiest ways to solve the greatest common divisor of 142, 326, 896, 976 i.e 2 in different methods as follows.
Given Input numbers are 142, 326, 896, 976
In the factoring method, we have to find the divisors of all numbers
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 326 :
The positive integer divisors of 326 that completely divides 326 are.
1, 2, 163, 326
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 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
GCD of numbers is the greatest common divisor
So, the GCD (142, 326, 896, 976) = 2.
Given numbers are 142, 326, 896, 976
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 326 are 2 x 163
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
The highest common occurrence is 21
Therefore, GCD of 142, 326, 896, 976 is 2.
Given numbers are 142, 326, 896, 976
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 326) = 23146
GCD(142, 326) = ( 142 x 326 ) / 23146
= 142 / 326
= 142
Step2:
LCM(2, 896) = 896
GCD(2, 896) = ( 2 x 896 ) / 896
= 2 / 896
= 2
Step3:
LCM(2, 976) = 976
GCD(2, 976) = ( 2 x 976 ) / 976
= 2 / 976
= 2
So, Greatest Common Divisor of 142, 326, 896, 976 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 326, 896, 976
The greatest common divisor of numbers 142, 326, 896, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 326, 896, 976 is 2.
1. What is the GCD of 142, 326, 896, 976?
GCD of given numbers 142, 326, 896, 976 is 2
2. How to calculate the greatest common divisor of 142, 326, 896, 976?
We can find the highest common divisor of 142, 326, 896, 976 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 142, 326, 896, 976 i.e 2.
3. How can I use the GCD of 142, 326, 896, 976Calculator?
Out the numbers 142, 326, 896, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.