GCD of 759, 220, 29 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 759, 220, 29 i.e. 1 largest integer that divides all the numbers equally.
GCD of 759, 220, 29 is 1
GCD(759, 220, 29) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 759, 220, 29 is 1
GCD(759, 220, 29) = 1
GCDof 759,220,29 is 1
Given Input numbers are 759, 220, 29
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Greatest Common Divisior
We found the divisors of 759, 220, 29 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 220, 29 is 1.
Therefore, GCD of numbers 759, 220, 29 is 1
Given Input Data is 759, 220, 29
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 29 is 29
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 759, 220, 29 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(759, 220) = 15180
GCD(759, 220) = ( 759 x 220 ) / 15180
GCD(759, 220) = 166980 / 15180
GCD(759, 220) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 29) = 319
GCD(11, 29) = ( 11 x 29 ) / 319
GCD(11, 29) = 319 / 319
GCD(11, 29) = 1
GCD of 759, 220, 29 is 1
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FAQs on GCD of numbers 759, 220, 29
1. What is the GCD of 759, 220, 29?
GCD of 759, 220, 29 is 1
2. Where do I get the detailed procedure to find GCD of 759, 220, 29?
You can find a detailed procedure to find GCD of 759, 220, 29 on our page.
3. How to find GCD of 759, 220, 29 on a calculator?
You can find the GCD of 759, 220, 29 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.