GCD of 715, 741, 442 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 715, 741, 442 quickly. Get the easiest ways to solve the greatest common divisor of 715, 741, 442 i.e 13 in different methods as follows.
Given Input numbers are 715, 741, 442
In the factoring method, we have to find the divisors of all numbers
Divisors of 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
GCD of numbers is the greatest common divisor
So, the GCD (715, 741, 442) = 13.
Given numbers are 715, 741, 442
The list of prime factors of all numbers are
Prime factors of 715 are 5 x 11 x 13
Prime factors of 741 are 3 x 13 x 19
Prime factors of 442 are 2 x 13 x 17
The highest common occurrence is 131
Therefore, GCD of 715, 741, 442 is 13.
Steps to Calculate GCD of 715, 741, 442 using LCM Formula
Given numbers are 715, 741, 442
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(715, 741) = 40755
GCD(715, 741) = ( 715 x 741 ) / 40755
= 715 / 741
= 715
Step2:
LCM(13, 442) = 442
GCD(13, 442) = ( 13 x 442 ) / 442
= 13 / 442
= 13
So, Greatest Common Divisor of 715, 741, 442 is 13
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 715, 741, 442
Given numbers are 715, 741, 442
The greatest common divisor of numbers 715, 741, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 715, 741, 442 is 13.
FAQs on GCD of 715, 741, 442 Calculator
1. What is the GCD of 715, 741, 442?
GCD of given numbers 715, 741, 442 is 13
2. How to calculate the greatest common divisor of 715, 741, 442?
We can find the highest common divisor of 715, 741, 442 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 715, 741, 442 i.e 13.
3. How can I use the GCD of 715, 741, 442Calculator?
Out the numbers 715, 741, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.