GCD of 742, 464, 487 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 742, 464, 487 quickly. Get the easiest ways to solve the greatest common divisor of 742, 464, 487 i.e 1 in different methods as follows.
Given Input numbers are 742, 464, 487
In the factoring method, we have to find the divisors of all numbers
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 487 :
The positive integer divisors of 487 that completely divides 487 are.
1, 487
GCD of numbers is the greatest common divisor
So, the GCD (742, 464, 487) = 1.
Given numbers are 742, 464, 487
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 487 are 487
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 742, 464, 487 using LCM Formula
Given numbers are 742, 464, 487
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 464) = 172144
GCD(742, 464) = ( 742 x 464 ) / 172144
= 742 / 464
= 742
Step2:
LCM(2, 487) = 974
GCD(2, 487) = ( 2 x 487 ) / 974
= 2 / 487
= 2
So, Greatest Common Divisor of 742, 464, 487 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 742, 464, 487
Given numbers are 742, 464, 487
The greatest common divisor of numbers 742, 464, 487 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 464, 487 is 1.
FAQs on GCD of 742, 464, 487 Calculator
1. What is the GCD of 742, 464, 487?
GCD of given numbers 742, 464, 487 is 1
2. How to calculate the greatest common divisor of 742, 464, 487?
We can find the highest common divisor of 742, 464, 487 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 742, 464, 487 i.e 1.
3. How can I use the GCD of 742, 464, 487Calculator?
Out the numbers 742, 464, 487 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.