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 969, 760, 688, 127 i.e. 1 largest integer that divides all the numbers equally.
GCD of 969, 760, 688, 127 is 1
GCD(969, 760, 688, 127) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 969, 760, 688, 127 is 1
GCD(969, 760, 688, 127) = 1
Given Input numbers are 969, 760, 688, 127
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
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 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 127
List of positive integer divisors of 127 that divides 127 without a remainder.
1, 127
Greatest Common Divisior
We found the divisors of 969, 760, 688, 127 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 760, 688, 127 is 1.
Therefore, GCD of numbers 969, 760, 688, 127 is 1
Given Input Data is 969, 760, 688, 127
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 127 is 127
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(969, 760) = 38760
GCD(969, 760) = ( 969 x 760 ) / 38760
GCD(969, 760) = 736440 / 38760
GCD(969, 760) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 688) = 13072
GCD(19, 688) = ( 19 x 688 ) / 13072
GCD(19, 688) = 13072 / 13072
GCD(19, 688) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 127
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 127) = 127
GCD(1, 127) = ( 1 x 127 ) / 127
GCD(1, 127) = 127 / 127
GCD(1, 127) = 1
GCD of 969, 760, 688, 127 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 969, 760, 688, 127?
GCD of 969, 760, 688, 127 is 1
2. Where do I get the detailed procedure to find GCD of 969, 760, 688, 127?
You can find a detailed procedure to find GCD of 969, 760, 688, 127 on our page.
3. How to find GCD of 969, 760, 688, 127 on a calculator?
You can find the GCD of 969, 760, 688, 127 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.