Online GCD Calculator is useful to find the GCD of 136, 642, 222, 976 quickly. Get the easiest ways to solve the greatest common divisor of 136, 642, 222, 976 i.e 2 in different methods as follows.
Given Input numbers are 136, 642, 222, 976
In the factoring method, we have to find the divisors of all numbers
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 222 :
The positive integer divisors of 222 that completely divides 222 are.
1, 2, 3, 6, 37, 74, 111, 222
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 (136, 642, 222, 976) = 2.
Given numbers are 136, 642, 222, 976
The list of prime factors of all numbers are
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 642 are 2 x 3 x 107
Prime factors of 222 are 2 x 3 x 37
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
The highest common occurrence is 21
Therefore, GCD of 136, 642, 222, 976 is 2.
Given numbers are 136, 642, 222, 976
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(136, 642) = 43656
GCD(136, 642) = ( 136 x 642 ) / 43656
= 136 / 642
= 136
Step2:
LCM(2, 222) = 222
GCD(2, 222) = ( 2 x 222 ) / 222
= 2 / 222
= 2
Step3:
LCM(2, 976) = 976
GCD(2, 976) = ( 2 x 976 ) / 976
= 2 / 976
= 2
So, Greatest Common Divisor of 136, 642, 222, 976 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 136, 642, 222, 976
The greatest common divisor of numbers 136, 642, 222, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 642, 222, 976 is 2.
1. What is the GCD of 136, 642, 222, 976?
GCD of given numbers 136, 642, 222, 976 is 2
2. How to calculate the greatest common divisor of 136, 642, 222, 976?
We can find the highest common divisor of 136, 642, 222, 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 136, 642, 222, 976 i.e 2.
3. How can I use the GCD of 136, 642, 222, 976Calculator?
Out the numbers 136, 642, 222, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.