GCD of 315, 984, 691 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 315, 984, 691 i.e. 1 largest integer that divides all the numbers equally.
GCD of 315, 984, 691 is 1
GCD(315, 984, 691) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 315, 984, 691 is 1
GCD(315, 984, 691) = 1
GCDof 315,984,691 is 1
Given Input numbers are 315, 984, 691
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Greatest Common Divisior
We found the divisors of 315, 984, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 984, 691 is 1.
Therefore, GCD of numbers 315, 984, 691 is 1
Given Input Data is 315, 984, 691
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 691 is 691
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 315, 984, 691 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(315, 984) = 103320
GCD(315, 984) = ( 315 x 984 ) / 103320
GCD(315, 984) = 309960 / 103320
GCD(315, 984) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 691) = 2073
GCD(3, 691) = ( 3 x 691 ) / 2073
GCD(3, 691) = 2073 / 2073
GCD(3, 691) = 1
GCD of 315, 984, 691 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 315, 984, 691
1. What is the GCD of 315, 984, 691?
GCD of 315, 984, 691 is 1
2. Where do I get the detailed procedure to find GCD of 315, 984, 691?
You can find a detailed procedure to find GCD of 315, 984, 691 on our page.
3. How to find GCD of 315, 984, 691 on a calculator?
You can find the GCD of 315, 984, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.