GCD of 821, 523, 155, 112 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 821, 523, 155, 112 quickly. Get the easiest ways to solve the greatest common divisor of 821, 523, 155, 112 i.e 1 in different methods as follows.
Given Input numbers are 821, 523, 155, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
Divisors of 523 :
The positive integer divisors of 523 that completely divides 523 are.
1, 523
Divisors of 155 :
The positive integer divisors of 155 that completely divides 155 are.
1, 5, 31, 155
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (821, 523, 155, 112) = 1.
Given numbers are 821, 523, 155, 112
The list of prime factors of all numbers are
Prime factors of 821 are 821
Prime factors of 523 are 523
Prime factors of 155 are 5 x 31
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 821, 523, 155, 112 using LCM Formula
Given numbers are 821, 523, 155, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(821, 523) = 429383
GCD(821, 523) = ( 821 x 523 ) / 429383
= 821 / 523
= 821
Step2:
LCM(1, 155) = 155
GCD(1, 155) = ( 1 x 155 ) / 155
= 1 / 155
= 1
Step3:
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
= 1 / 112
= 1
So, Greatest Common Divisor of 821, 523, 155, 112 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 821, 523, 155, 112
Given numbers are 821, 523, 155, 112
The greatest common divisor of numbers 821, 523, 155, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 523, 155, 112 is 1.
FAQs on GCD of 821, 523, 155, 112 Calculator
1. What is the GCD of 821, 523, 155, 112?
GCD of given numbers 821, 523, 155, 112 is 1
2. How to calculate the greatest common divisor of 821, 523, 155, 112?
We can find the highest common divisor of 821, 523, 155, 112 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 821, 523, 155, 112 i.e 1.
3. How can I use the GCD of 821, 523, 155, 112Calculator?
Out the numbers 821, 523, 155, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.