GCD of 315, 861, 742 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 315, 861, 742 quickly. Get the easiest ways to solve the greatest common divisor of 315, 861, 742 i.e 7 in different methods as follows.
Given Input numbers are 315, 861, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
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 (315, 861, 742) = 7.
Given numbers are 315, 861, 742
The list of prime factors of all numbers are
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 861 are 3 x 7 x 41
Prime factors of 742 are 2 x 7 x 53
The highest common occurrence is 71
Therefore, GCD of 315, 861, 742 is 7.
Steps to Calculate GCD of 315, 861, 742 using LCM Formula
Given numbers are 315, 861, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(315, 861) = 12915
GCD(315, 861) = ( 315 x 861 ) / 12915
= 315 / 861
= 315
Step2:
LCM(21, 742) = 2226
GCD(21, 742) = ( 21 x 742 ) / 2226
= 21 / 742
= 21
So, Greatest Common Divisor of 315, 861, 742 is 7
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 315, 861, 742
Given numbers are 315, 861, 742
The greatest common divisor of numbers 315, 861, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 861, 742 is 7.
FAQs on GCD of 315, 861, 742 Calculator
1. What is the GCD of 315, 861, 742?
GCD of given numbers 315, 861, 742 is 7
2. How to calculate the greatest common divisor of 315, 861, 742?
We can find the highest common divisor of 315, 861, 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 315, 861, 742 i.e 7.
3. How can I use the GCD of 315, 861, 742Calculator?
Out the numbers 315, 861, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.