GCD of 268, 762, 72 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 268, 762, 72 quickly. Get the easiest ways to solve the greatest common divisor of 268, 762, 72 i.e 2 in different methods as follows.
Given Input numbers are 268, 762, 72
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 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
GCD of numbers is the greatest common divisor
So, the GCD (268, 762, 72) = 2.
Given numbers are 268, 762, 72
The list of prime factors of all numbers are
Prime factors of 268 are 2 x 2 x 67
Prime factors of 762 are 2 x 3 x 127
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 268, 762, 72 is 2.
Steps to Calculate GCD of 268, 762, 72 using LCM Formula
Given numbers are 268, 762, 72
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(268, 762) = 102108
GCD(268, 762) = ( 268 x 762 ) / 102108
= 268 / 762
= 268
Step2:
LCM(2, 72) = 72
GCD(2, 72) = ( 2 x 72 ) / 72
= 2 / 72
= 2
So, Greatest Common Divisor of 268, 762, 72 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 268, 762, 72
Given numbers are 268, 762, 72
The greatest common divisor of numbers 268, 762, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 762, 72 is 2.
FAQs on GCD of 268, 762, 72 Calculator
1. What is the GCD of 268, 762, 72?
GCD of given numbers 268, 762, 72 is 2
2. How to calculate the greatest common divisor of 268, 762, 72?
We can find the highest common divisor of 268, 762, 72 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, 762, 72 i.e 2.
3. How can I use the GCD of 268, 762, 72Calculator?
Out the numbers 268, 762, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.