GCD of 861, 973, 23, 738 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 861, 973, 23, 738 quickly. Get the easiest ways to solve the greatest common divisor of 861, 973, 23, 738 i.e 1 in different methods as follows.
Given Input numbers are 861, 973, 23, 738
In the factoring method, we have to find the divisors of all numbers
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 973 :
The positive integer divisors of 973 that completely divides 973 are.
1, 7, 139, 973
Divisors of 23 :
The positive integer divisors of 23 that completely divides 23 are.
1, 23
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
GCD of numbers is the greatest common divisor
So, the GCD (861, 973, 23, 738) = 1.
Given numbers are 861, 973, 23, 738
The list of prime factors of all numbers are
Prime factors of 861 are 3 x 7 x 41
Prime factors of 973 are 7 x 139
Prime factors of 23 are 23
Prime factors of 738 are 2 x 3 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 861, 973, 23, 738 using LCM Formula
Given numbers are 861, 973, 23, 738
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(861, 973) = 119679
GCD(861, 973) = ( 861 x 973 ) / 119679
= 861 / 973
= 861
Step2:
LCM(7, 23) = 161
GCD(7, 23) = ( 7 x 23 ) / 161
= 7 / 23
= 7
Step3:
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
= 1 / 738
= 1
So, Greatest Common Divisor of 861, 973, 23, 738 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 861, 973, 23, 738
Given numbers are 861, 973, 23, 738
The greatest common divisor of numbers 861, 973, 23, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 973, 23, 738 is 1.
FAQs on GCD of 861, 973, 23, 738 Calculator
1. What is the GCD of 861, 973, 23, 738?
GCD of given numbers 861, 973, 23, 738 is 1
2. How to calculate the greatest common divisor of 861, 973, 23, 738?
We can find the highest common divisor of 861, 973, 23, 738 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 861, 973, 23, 738 i.e 1.
3. How can I use the GCD of 861, 973, 23, 738Calculator?
Out the numbers 861, 973, 23, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.