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 66, 117, 875, 850 i.e. 1 largest integer that divides all the numbers equally.
GCD of 66, 117, 875, 850 is 1
GCD(66, 117, 875, 850) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 66, 117, 875, 850 is 1
GCD(66, 117, 875, 850) = 1
Given Input numbers are 66, 117, 875, 850
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Greatest Common Divisior
We found the divisors of 66, 117, 875, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 117, 875, 850 is 1.
Therefore, GCD of numbers 66, 117, 875, 850 is 1
Given Input Data is 66, 117, 875, 850
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 850 is 2 x 5 x 5 x 17
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(66, 117) = 2574
GCD(66, 117) = ( 66 x 117 ) / 2574
GCD(66, 117) = 7722 / 2574
GCD(66, 117) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 875
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 875) = 2625
GCD(3, 875) = ( 3 x 875 ) / 2625
GCD(3, 875) = 2625 / 2625
GCD(3, 875) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 850) = 850
GCD(1, 850) = ( 1 x 850 ) / 850
GCD(1, 850) = 850 / 850
GCD(1, 850) = 1
GCD of 66, 117, 875, 850 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 66, 117, 875, 850?
GCD of 66, 117, 875, 850 is 1
2. Where do I get the detailed procedure to find GCD of 66, 117, 875, 850?
You can find a detailed procedure to find GCD of 66, 117, 875, 850 on our page.
3. How to find GCD of 66, 117, 875, 850 on a calculator?
You can find the GCD of 66, 117, 875, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.