Online GCD Calculator is useful to find the GCD of 832, 916, 138, 300 quickly. Get the easiest ways to solve the greatest common divisor of 832, 916, 138, 300 i.e 2 in different methods as follows.
Given Input numbers are 832, 916, 138, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (832, 916, 138, 300) = 2.
Given numbers are 832, 916, 138, 300
The list of prime factors of all numbers are
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 916 are 2 x 2 x 229
Prime factors of 138 are 2 x 3 x 23
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 832, 916, 138, 300 is 2.
Given numbers are 832, 916, 138, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(832, 916) = 190528
GCD(832, 916) = ( 832 x 916 ) / 190528
= 832 / 916
= 832
Step2:
LCM(4, 138) = 276
GCD(4, 138) = ( 4 x 138 ) / 276
= 4 / 138
= 4
Step3:
LCM(2, 300) = 300
GCD(2, 300) = ( 2 x 300 ) / 300
= 2 / 300
= 2
So, Greatest Common Divisor of 832, 916, 138, 300 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 832, 916, 138, 300
The greatest common divisor of numbers 832, 916, 138, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 832, 916, 138, 300 is 2.
1. What is the GCD of 832, 916, 138, 300?
GCD of given numbers 832, 916, 138, 300 is 2
2. How to calculate the greatest common divisor of 832, 916, 138, 300?
We can find the highest common divisor of 832, 916, 138, 300 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 832, 916, 138, 300 i.e 2.
3. How can I use the GCD of 832, 916, 138, 300Calculator?
Out the numbers 832, 916, 138, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.