GCD of 948, 864, 106 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 948, 864, 106 quickly. Get the easiest ways to solve the greatest common divisor of 948, 864, 106 i.e 2 in different methods as follows.
Given Input numbers are 948, 864, 106
In the factoring method, we have to find the divisors of all numbers
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
GCD of numbers is the greatest common divisor
So, the GCD (948, 864, 106) = 2.
Given numbers are 948, 864, 106
The list of prime factors of all numbers are
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 106 are 2 x 53
The highest common occurrence is 21
Therefore, GCD of 948, 864, 106 is 2.
Steps to Calculate GCD of 948, 864, 106 using LCM Formula
Given numbers are 948, 864, 106
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(948, 864) = 68256
GCD(948, 864) = ( 948 x 864 ) / 68256
= 948 / 864
= 948
Step2:
LCM(12, 106) = 636
GCD(12, 106) = ( 12 x 106 ) / 636
= 12 / 106
= 12
So, Greatest Common Divisor of 948, 864, 106 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 948, 864, 106
Given numbers are 948, 864, 106
The greatest common divisor of numbers 948, 864, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 864, 106 is 2.
FAQs on GCD of 948, 864, 106 Calculator
1. What is the GCD of 948, 864, 106?
GCD of given numbers 948, 864, 106 is 2
2. How to calculate the greatest common divisor of 948, 864, 106?
We can find the highest common divisor of 948, 864, 106 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 948, 864, 106 i.e 2.
3. How can I use the GCD of 948, 864, 106Calculator?
Out the numbers 948, 864, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.