GCD of 340, 765, 635 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 340, 765, 635 i.e. 5 largest integer that divides all the numbers equally.
GCD of 340, 765, 635 is 5
GCD(340, 765, 635) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 340, 765, 635 is 5
GCD(340, 765, 635) = 5
GCDof 340,765,635 is 5
Given Input numbers are 340, 765, 635
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Greatest Common Divisior
We found the divisors of 340, 765, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 765, 635 is 5.
Therefore, GCD of numbers 340, 765, 635 is 5
Given Input Data is 340, 765, 635
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 635 is 5 x 127
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
Finding GCD of 340, 765, 635 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(340, 765) = 3060
GCD(340, 765) = ( 340 x 765 ) / 3060
GCD(340, 765) = 260100 / 3060
GCD(340, 765) = 85
Step2:
Here we consider the GCD from the above i.e. 85 as first number and the next as 635
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(85, 635) = 10795
GCD(85, 635) = ( 85 x 635 ) / 10795
GCD(85, 635) = 53975 / 10795
GCD(85, 635) = 5
GCD of 340, 765, 635 is 5
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FAQs on GCD of numbers 340, 765, 635
1. What is the GCD of 340, 765, 635?
GCD of 340, 765, 635 is 5
2. Where do I get the detailed procedure to find GCD of 340, 765, 635?
You can find a detailed procedure to find GCD of 340, 765, 635 on our page.
3. How to find GCD of 340, 765, 635 on a calculator?
You can find the GCD of 340, 765, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.