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, 760, 153, 834 i.e. 1 largest integer that divides all the numbers equally.
GCD of 66, 760, 153, 834 is 1
GCD(66, 760, 153, 834) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 66, 760, 153, 834 is 1
GCD(66, 760, 153, 834) = 1
Given Input numbers are 66, 760, 153, 834
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 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Greatest Common Divisior
We found the divisors of 66, 760, 153, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 760, 153, 834 is 1.
Therefore, GCD of numbers 66, 760, 153, 834 is 1
Given Input Data is 66, 760, 153, 834
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 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 834 is 2 x 3 x 139
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, 760) = 25080
GCD(66, 760) = ( 66 x 760 ) / 25080
GCD(66, 760) = 50160 / 25080
GCD(66, 760) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 153) = 306
GCD(2, 153) = ( 2 x 153 ) / 306
GCD(2, 153) = 306 / 306
GCD(2, 153) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 834
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 834) = 834
GCD(1, 834) = ( 1 x 834 ) / 834
GCD(1, 834) = 834 / 834
GCD(1, 834) = 1
GCD of 66, 760, 153, 834 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 66, 760, 153, 834?
GCD of 66, 760, 153, 834 is 1
2. Where do I get the detailed procedure to find GCD of 66, 760, 153, 834?
You can find a detailed procedure to find GCD of 66, 760, 153, 834 on our page.
3. How to find GCD of 66, 760, 153, 834 on a calculator?
You can find the GCD of 66, 760, 153, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.