GCD of 390, 615, 762 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 390, 615, 762 i.e. 3 largest integer that divides all the numbers equally.
GCD of 390, 615, 762 is 3
GCD(390, 615, 762) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 390, 615, 762 is 3
GCD(390, 615, 762) = 3
GCDof 390,615,762 is 3
Given Input numbers are 390, 615, 762
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Greatest Common Divisior
We found the divisors of 390, 615, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 615, 762 is 3.
Therefore, GCD of numbers 390, 615, 762 is 3
Given Input Data is 390, 615, 762
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 762 is 2 x 3 x 127
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 390, 615, 762 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(390, 615) = 15990
GCD(390, 615) = ( 390 x 615 ) / 15990
GCD(390, 615) = 239850 / 15990
GCD(390, 615) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 762
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 762) = 3810
GCD(15, 762) = ( 15 x 762 ) / 3810
GCD(15, 762) = 11430 / 3810
GCD(15, 762) = 3
GCD of 390, 615, 762 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 390, 615, 762
1. What is the GCD of 390, 615, 762?
GCD of 390, 615, 762 is 3
2. Where do I get the detailed procedure to find GCD of 390, 615, 762?
You can find a detailed procedure to find GCD of 390, 615, 762 on our page.
3. How to find GCD of 390, 615, 762 on a calculator?
You can find the GCD of 390, 615, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.