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 295, 140, 99, 858 i.e. 1 largest integer that divides all the numbers equally.
GCD of 295, 140, 99, 858 is 1
GCD(295, 140, 99, 858) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 295, 140, 99, 858 is 1
GCD(295, 140, 99, 858) = 1
Given Input numbers are 295, 140, 99, 858
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Greatest Common Divisior
We found the divisors of 295, 140, 99, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 140, 99, 858 is 1.
Therefore, GCD of numbers 295, 140, 99, 858 is 1
Given Input Data is 295, 140, 99, 858
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 295 is 5 x 59
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 858 is 2 x 3 x 11 x 13
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(295, 140) = 8260
GCD(295, 140) = ( 295 x 140 ) / 8260
GCD(295, 140) = 41300 / 8260
GCD(295, 140) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 99) = 495
GCD(5, 99) = ( 5 x 99 ) / 495
GCD(5, 99) = 495 / 495
GCD(5, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 858
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 858) = 858
GCD(1, 858) = ( 1 x 858 ) / 858
GCD(1, 858) = 858 / 858
GCD(1, 858) = 1
GCD of 295, 140, 99, 858 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 295, 140, 99, 858?
GCD of 295, 140, 99, 858 is 1
2. Where do I get the detailed procedure to find GCD of 295, 140, 99, 858?
You can find a detailed procedure to find GCD of 295, 140, 99, 858 on our page.
3. How to find GCD of 295, 140, 99, 858 on a calculator?
You can find the GCD of 295, 140, 99, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.