Online GCD Calculator is useful to find the GCD of 384, 772, 142, 118 quickly. Get the easiest ways to solve the greatest common divisor of 384, 772, 142, 118 i.e 2 in different methods as follows.
Given Input numbers are 384, 772, 142, 118
In the factoring method, we have to find the divisors of all numbers
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
GCD of numbers is the greatest common divisor
So, the GCD (384, 772, 142, 118) = 2.
Given numbers are 384, 772, 142, 118
The list of prime factors of all numbers are
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 772 are 2 x 2 x 193
Prime factors of 142 are 2 x 71
Prime factors of 118 are 2 x 59
The highest common occurrence is 21
Therefore, GCD of 384, 772, 142, 118 is 2.
Given numbers are 384, 772, 142, 118
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 772) = 74112
GCD(384, 772) = ( 384 x 772 ) / 74112
= 384 / 772
= 384
Step2:
LCM(4, 142) = 284
GCD(4, 142) = ( 4 x 142 ) / 284
= 4 / 142
= 4
Step3:
LCM(2, 118) = 118
GCD(2, 118) = ( 2 x 118 ) / 118
= 2 / 118
= 2
So, Greatest Common Divisor of 384, 772, 142, 118 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 384, 772, 142, 118
The greatest common divisor of numbers 384, 772, 142, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 772, 142, 118 is 2.
1. What is the GCD of 384, 772, 142, 118?
GCD of given numbers 384, 772, 142, 118 is 2
2. How to calculate the greatest common divisor of 384, 772, 142, 118?
We can find the highest common divisor of 384, 772, 142, 118 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 384, 772, 142, 118 i.e 2.
3. How can I use the GCD of 384, 772, 142, 118Calculator?
Out the numbers 384, 772, 142, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.