GCD of 268, 400, 116 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 268, 400, 116 quickly. Get the easiest ways to solve the greatest common divisor of 268, 400, 116 i.e 4 in different methods as follows.
Given Input numbers are 268, 400, 116
In the factoring method, we have to find the divisors of all numbers
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
GCD of numbers is the greatest common divisor
So, the GCD (268, 400, 116) = 4.
Given numbers are 268, 400, 116
The list of prime factors of all numbers are
Prime factors of 268 are 2 x 2 x 67
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 116 are 2 x 2 x 29
The highest common occurrence is 22
Therefore, GCD of 268, 400, 116 is 4.
Steps to Calculate GCD of 268, 400, 116 using LCM Formula
Given numbers are 268, 400, 116
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(268, 400) = 26800
GCD(268, 400) = ( 268 x 400 ) / 26800
= 268 / 400
= 268
Step2:
LCM(4, 116) = 116
GCD(4, 116) = ( 4 x 116 ) / 116
= 4 / 116
= 4
So, Greatest Common Divisor of 268, 400, 116 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 268, 400, 116
Given numbers are 268, 400, 116
The greatest common divisor of numbers 268, 400, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 400, 116 is 4.
FAQs on GCD of 268, 400, 116 Calculator
1. What is the GCD of 268, 400, 116?
GCD of given numbers 268, 400, 116 is 4
2. How to calculate the greatest common divisor of 268, 400, 116?
We can find the highest common divisor of 268, 400, 116 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 268, 400, 116 i.e 4.
3. How can I use the GCD of 268, 400, 116Calculator?
Out the numbers 268, 400, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.