GCD of 880, 253, 726 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 880, 253, 726 quickly. Get the easiest ways to solve the greatest common divisor of 880, 253, 726 i.e 11 in different methods as follows.
Given Input numbers are 880, 253, 726
In the factoring method, we have to find the divisors of all numbers
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 253 :
The positive integer divisors of 253 that completely divides 253 are.
1, 11, 23, 253
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
GCD of numbers is the greatest common divisor
So, the GCD (880, 253, 726) = 11.
Given numbers are 880, 253, 726
The list of prime factors of all numbers are
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 253 are 11 x 23
Prime factors of 726 are 2 x 3 x 11 x 11
The highest common occurrence is 111
Therefore, GCD of 880, 253, 726 is 11.
Steps to Calculate GCD of 880, 253, 726 using LCM Formula
Given numbers are 880, 253, 726
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(880, 253) = 20240
GCD(880, 253) = ( 880 x 253 ) / 20240
= 880 / 253
= 880
Step2:
LCM(11, 726) = 726
GCD(11, 726) = ( 11 x 726 ) / 726
= 11 / 726
= 11
So, Greatest Common Divisor of 880, 253, 726 is 11
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 880, 253, 726
Given numbers are 880, 253, 726
The greatest common divisor of numbers 880, 253, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 880, 253, 726 is 11.
FAQs on GCD of 880, 253, 726 Calculator
1. What is the GCD of 880, 253, 726?
GCD of given numbers 880, 253, 726 is 11
2. How to calculate the greatest common divisor of 880, 253, 726?
We can find the highest common divisor of 880, 253, 726 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 880, 253, 726 i.e 11.
3. How can I use the GCD of 880, 253, 726Calculator?
Out the numbers 880, 253, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.