GCD of 132, 784, 848 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 132, 784, 848 quickly. Get the easiest ways to solve the greatest common divisor of 132, 784, 848 i.e 4 in different methods as follows.
Given Input numbers are 132, 784, 848
In the factoring method, we have to find the divisors of all numbers
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 848 :
The positive integer divisors of 848 that completely divides 848 are.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
GCD of numbers is the greatest common divisor
So, the GCD (132, 784, 848) = 4.
Given numbers are 132, 784, 848
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
The highest common occurrence is 22
Therefore, GCD of 132, 784, 848 is 4.
Steps to Calculate GCD of 132, 784, 848 using LCM Formula
Given numbers are 132, 784, 848
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 784) = 25872
GCD(132, 784) = ( 132 x 784 ) / 25872
= 132 / 784
= 132
Step2:
LCM(4, 848) = 848
GCD(4, 848) = ( 4 x 848 ) / 848
= 4 / 848
= 4
So, Greatest Common Divisor of 132, 784, 848 is 4
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 132, 784, 848
Given numbers are 132, 784, 848
The greatest common divisor of numbers 132, 784, 848 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 784, 848 is 4.
FAQs on GCD of 132, 784, 848 Calculator
1. What is the GCD of 132, 784, 848?
GCD of given numbers 132, 784, 848 is 4
2. How to calculate the greatest common divisor of 132, 784, 848?
We can find the highest common divisor of 132, 784, 848 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 132, 784, 848 i.e 4.
3. How can I use the GCD of 132, 784, 848Calculator?
Out the numbers 132, 784, 848 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.