GCD of 746, 465, 113 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 746, 465, 113 quickly. Get the easiest ways to solve the greatest common divisor of 746, 465, 113 i.e 1 in different methods as follows.
Given Input numbers are 746, 465, 113
In the factoring method, we have to find the divisors of all numbers
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 113 :
The positive integer divisors of 113 that completely divides 113 are.
1, 113
GCD of numbers is the greatest common divisor
So, the GCD (746, 465, 113) = 1.
Given numbers are 746, 465, 113
The list of prime factors of all numbers are
Prime factors of 746 are 2 x 373
Prime factors of 465 are 3 x 5 x 31
Prime factors of 113 are 113
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 746, 465, 113 using LCM Formula
Given numbers are 746, 465, 113
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(746, 465) = 346890
GCD(746, 465) = ( 746 x 465 ) / 346890
= 746 / 465
= 746
Step2:
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
= 1 / 113
= 1
So, Greatest Common Divisor of 746, 465, 113 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 746, 465, 113
Given numbers are 746, 465, 113
The greatest common divisor of numbers 746, 465, 113 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 465, 113 is 1.
FAQs on GCD of 746, 465, 113 Calculator
1. What is the GCD of 746, 465, 113?
GCD of given numbers 746, 465, 113 is 1
2. How to calculate the greatest common divisor of 746, 465, 113?
We can find the highest common divisor of 746, 465, 113 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 746, 465, 113 i.e 1.
3. How can I use the GCD of 746, 465, 113Calculator?
Out the numbers 746, 465, 113 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.