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 869, 141, 35, 688 i.e. 1 largest integer that divides all the numbers equally.
GCD of 869, 141, 35, 688 is 1
GCD(869, 141, 35, 688) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 869, 141, 35, 688 is 1
GCD(869, 141, 35, 688) = 1
Given Input numbers are 869, 141, 35, 688
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Greatest Common Divisior
We found the divisors of 869, 141, 35, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 141, 35, 688 is 1.
Therefore, GCD of numbers 869, 141, 35, 688 is 1
Given Input Data is 869, 141, 35, 688
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 869 is 11 x 79
Prime Factorization of 141 is 3 x 47
Prime Factorization of 35 is 5 x 7
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
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(869, 141) = 122529
GCD(869, 141) = ( 869 x 141 ) / 122529
GCD(869, 141) = 122529 / 122529
GCD(869, 141) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 35) = 35
GCD(1, 35) = ( 1 x 35 ) / 35
GCD(1, 35) = 35 / 35
GCD(1, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
GCD(1, 688) = 688 / 688
GCD(1, 688) = 1
GCD of 869, 141, 35, 688 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 869, 141, 35, 688?
GCD of 869, 141, 35, 688 is 1
2. Where do I get the detailed procedure to find GCD of 869, 141, 35, 688?
You can find a detailed procedure to find GCD of 869, 141, 35, 688 on our page.
3. How to find GCD of 869, 141, 35, 688 on a calculator?
You can find the GCD of 869, 141, 35, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.