GCD of 823, 561, 772, 742 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 823, 561, 772, 742 quickly. Get the easiest ways to solve the greatest common divisor of 823, 561, 772, 742 i.e 1 in different methods as follows.
Given Input numbers are 823, 561, 772, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 823 :
The positive integer divisors of 823 that completely divides 823 are.
1, 823
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (823, 561, 772, 742) = 1.
Given numbers are 823, 561, 772, 742
The list of prime factors of all numbers are
Prime factors of 823 are 823
Prime factors of 561 are 3 x 11 x 17
Prime factors of 772 are 2 x 2 x 193
Prime factors of 742 are 2 x 7 x 53
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 823, 561, 772, 742 using LCM Formula
Given numbers are 823, 561, 772, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(823, 561) = 461703
GCD(823, 561) = ( 823 x 561 ) / 461703
= 823 / 561
= 823
Step2:
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
= 1 / 772
= 1
Step3:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
So, Greatest Common Divisor of 823, 561, 772, 742 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 823, 561, 772, 742
Given numbers are 823, 561, 772, 742
The greatest common divisor of numbers 823, 561, 772, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 823, 561, 772, 742 is 1.
FAQs on GCD of 823, 561, 772, 742 Calculator
1. What is the GCD of 823, 561, 772, 742?
GCD of given numbers 823, 561, 772, 742 is 1
2. How to calculate the greatest common divisor of 823, 561, 772, 742?
We can find the highest common divisor of 823, 561, 772, 742 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 823, 561, 772, 742 i.e 1.
3. How can I use the GCD of 823, 561, 772, 742Calculator?
Out the numbers 823, 561, 772, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.