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 770, 397, 523, 114 i.e. 1 largest integer that divides all the numbers equally.
GCD of 770, 397, 523, 114 is 1
GCD(770, 397, 523, 114) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 770, 397, 523, 114 is 1
GCD(770, 397, 523, 114) = 1
Given Input numbers are 770, 397, 523, 114
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Greatest Common Divisior
We found the divisors of 770, 397, 523, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 397, 523, 114 is 1.
Therefore, GCD of numbers 770, 397, 523, 114 is 1
Given Input Data is 770, 397, 523, 114
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 397 is 397
Prime Factorization of 523 is 523
Prime Factorization of 114 is 2 x 3 x 19
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(770, 397) = 305690
GCD(770, 397) = ( 770 x 397 ) / 305690
GCD(770, 397) = 305690 / 305690
GCD(770, 397) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 523
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 523) = 523
GCD(1, 523) = ( 1 x 523 ) / 523
GCD(1, 523) = 523 / 523
GCD(1, 523) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 114
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
GCD(1, 114) = 114 / 114
GCD(1, 114) = 1
GCD of 770, 397, 523, 114 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 770, 397, 523, 114?
GCD of 770, 397, 523, 114 is 1
2. Where do I get the detailed procedure to find GCD of 770, 397, 523, 114?
You can find a detailed procedure to find GCD of 770, 397, 523, 114 on our page.
3. How to find GCD of 770, 397, 523, 114 on a calculator?
You can find the GCD of 770, 397, 523, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.