GCD of 975, 720, 869 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 975, 720, 869 i.e. 1 largest integer that divides all the numbers equally.
GCD of 975, 720, 869 is 1
GCD(975, 720, 869) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 975, 720, 869 is 1
GCD(975, 720, 869) = 1
GCDof 975,720,869 is 1
Given Input numbers are 975, 720, 869
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Greatest Common Divisior
We found the divisors of 975, 720, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 720, 869 is 1.
Therefore, GCD of numbers 975, 720, 869 is 1
Given Input Data is 975, 720, 869
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 869 is 11 x 79
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 975, 720, 869 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(975, 720) = 46800
GCD(975, 720) = ( 975 x 720 ) / 46800
GCD(975, 720) = 702000 / 46800
GCD(975, 720) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 869
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 869) = 13035
GCD(15, 869) = ( 15 x 869 ) / 13035
GCD(15, 869) = 13035 / 13035
GCD(15, 869) = 1
GCD of 975, 720, 869 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 975, 720, 869
1. What is the GCD of 975, 720, 869?
GCD of 975, 720, 869 is 1
2. Where do I get the detailed procedure to find GCD of 975, 720, 869?
You can find a detailed procedure to find GCD of 975, 720, 869 on our page.
3. How to find GCD of 975, 720, 869 on a calculator?
You can find the GCD of 975, 720, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
