Online GCD Calculator is useful to find the GCD of 148, 332, 872 quickly. Get the easiest ways to solve the greatest common divisor of 148, 332, 872 i.e 4 in different methods as follows.
Given Input numbers are 148, 332, 872
In the factoring method, we have to find the divisors of all numbers
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 332 :
The positive integer divisors of 332 that completely divides 332 are.
1, 2, 4, 83, 166, 332
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (148, 332, 872) = 4.
Given numbers are 148, 332, 872
The list of prime factors of all numbers are
Prime factors of 148 are 2 x 2 x 37
Prime factors of 332 are 2 x 2 x 83
Prime factors of 872 are 2 x 2 x 2 x 109
The highest common occurrence is 22
Therefore, GCD of 148, 332, 872 is 4.
Given numbers are 148, 332, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(148, 332) = 12284
GCD(148, 332) = ( 148 x 332 ) / 12284
= 148 / 332
= 148
Step2:
LCM(4, 872) = 872
GCD(4, 872) = ( 4 x 872 ) / 872
= 4 / 872
= 4
So, Greatest Common Divisor of 148, 332, 872 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 148, 332, 872
The greatest common divisor of numbers 148, 332, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 332, 872 is 4.
1. What is the GCD of 148, 332, 872?
GCD of given numbers 148, 332, 872 is 4
2. How to calculate the greatest common divisor of 148, 332, 872?
We can find the highest common divisor of 148, 332, 872 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 148, 332, 872 i.e 4.
3. How can I use the GCD of 148, 332, 872Calculator?
Out the numbers 148, 332, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.