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 760, 107, 66, 884 i.e. 1 largest integer that divides all the numbers equally.
GCD of 760, 107, 66, 884 is 1
GCD(760, 107, 66, 884) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 760, 107, 66, 884 is 1
GCD(760, 107, 66, 884) = 1
Given Input numbers are 760, 107, 66, 884
To find the GCD of numbers using factoring list out all the divisors of each number
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 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
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 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Greatest Common Divisior
We found the divisors of 760, 107, 66, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 107, 66, 884 is 1.
Therefore, GCD of numbers 760, 107, 66, 884 is 1
Given Input Data is 760, 107, 66, 884
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 107 is 107
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 884 is 2 x 2 x 13 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(760, 107) = 81320
GCD(760, 107) = ( 760 x 107 ) / 81320
GCD(760, 107) = 81320 / 81320
GCD(760, 107) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 884
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 884) = 884
GCD(1, 884) = ( 1 x 884 ) / 884
GCD(1, 884) = 884 / 884
GCD(1, 884) = 1
GCD of 760, 107, 66, 884 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 760, 107, 66, 884?
GCD of 760, 107, 66, 884 is 1
2. Where do I get the detailed procedure to find GCD of 760, 107, 66, 884?
You can find a detailed procedure to find GCD of 760, 107, 66, 884 on our page.
3. How to find GCD of 760, 107, 66, 884 on a calculator?
You can find the GCD of 760, 107, 66, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.