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 282, 869, 700 i.e. 1 largest integer that divides all the numbers equally.
GCD of 282, 869, 700 is 1
GCD(282, 869, 700) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 282, 869, 700 is 1
GCD(282, 869, 700) = 1
Given Input numbers are 282, 869, 700
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Greatest Common Divisior
We found the divisors of 282, 869, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 869, 700 is 1.
Therefore, GCD of numbers 282, 869, 700 is 1
Given Input Data is 282, 869, 700
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 282 is 2 x 3 x 47
Prime Factorization of 869 is 11 x 79
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
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(282, 869) = 245058
GCD(282, 869) = ( 282 x 869 ) / 245058
GCD(282, 869) = 245058 / 245058
GCD(282, 869) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
GCD(1, 700) = 700 / 700
GCD(1, 700) = 1
GCD of 282, 869, 700 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 282, 869, 700?
GCD of 282, 869, 700 is 1
2. Where do I get the detailed procedure to find GCD of 282, 869, 700?
You can find a detailed procedure to find GCD of 282, 869, 700 on our page.
3. How to find GCD of 282, 869, 700 on a calculator?
You can find the GCD of 282, 869, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.