Online GCD Calculator is useful to find the GCD of 832, 150, 464, 100 quickly. Get the easiest ways to solve the greatest common divisor of 832, 150, 464, 100 i.e 2 in different methods as follows.
Given Input numbers are 832, 150, 464, 100
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 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (832, 150, 464, 100) = 2.
Given numbers are 832, 150, 464, 100
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 150 are 2 x 3 x 5 x 5
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 100 are 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 832, 150, 464, 100 is 2.
Given numbers are 832, 150, 464, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(832, 150) = 62400
GCD(832, 150) = ( 832 x 150 ) / 62400
= 832 / 150
= 832
Step2:
LCM(2, 464) = 464
GCD(2, 464) = ( 2 x 464 ) / 464
= 2 / 464
= 2
Step3:
LCM(2, 100) = 100
GCD(2, 100) = ( 2 x 100 ) / 100
= 2 / 100
= 2
So, Greatest Common Divisor of 832, 150, 464, 100 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 832, 150, 464, 100
The greatest common divisor of numbers 832, 150, 464, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 832, 150, 464, 100 is 2.
1. What is the GCD of 832, 150, 464, 100?
GCD of given numbers 832, 150, 464, 100 is 2
2. How to calculate the greatest common divisor of 832, 150, 464, 100?
We can find the highest common divisor of 832, 150, 464, 100 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, 150, 464, 100 i.e 2.
3. How can I use the GCD of 832, 150, 464, 100Calculator?
Out the numbers 832, 150, 464, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.