GCD of 821, 723, 948 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 821, 723, 948 quickly. Get the easiest ways to solve the greatest common divisor of 821, 723, 948 i.e 1 in different methods as follows.
Given Input numbers are 821, 723, 948
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 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
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
GCD of numbers is the greatest common divisor
So, the GCD (821, 723, 948) = 1.
Given numbers are 821, 723, 948
The list of prime factors of all numbers are
Prime factors of 821 are 821
Prime factors of 723 are 3 x 241
Prime factors of 948 are 2 x 2 x 3 x 79
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 821, 723, 948 using LCM Formula
Given numbers are 821, 723, 948
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(821, 723) = 593583
GCD(821, 723) = ( 821 x 723 ) / 593583
= 821 / 723
= 821
Step2:
LCM(1, 948) = 948
GCD(1, 948) = ( 1 x 948 ) / 948
= 1 / 948
= 1
So, Greatest Common Divisor of 821, 723, 948 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 821, 723, 948
Given numbers are 821, 723, 948
The greatest common divisor of numbers 821, 723, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 723, 948 is 1.
FAQs on GCD of 821, 723, 948 Calculator
1. What is the GCD of 821, 723, 948?
GCD of given numbers 821, 723, 948 is 1
2. How to calculate the greatest common divisor of 821, 723, 948?
We can find the highest common divisor of 821, 723, 948 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, 723, 948 i.e 1.
3. How can I use the GCD of 821, 723, 948Calculator?
Out the numbers 821, 723, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.