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 76, 942, 418, 697 i.e. 1 largest integer that divides all the numbers equally.
GCD of 76, 942, 418, 697 is 1
GCD(76, 942, 418, 697) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 76, 942, 418, 697 is 1
GCD(76, 942, 418, 697) = 1
Given Input numbers are 76, 942, 418, 697
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Greatest Common Divisior
We found the divisors of 76, 942, 418, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 942, 418, 697 is 1.
Therefore, GCD of numbers 76, 942, 418, 697 is 1
Given Input Data is 76, 942, 418, 697
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 418 is 2 x 11 x 19
Prime Factorization of 697 is 17 x 41
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(76, 942) = 35796
GCD(76, 942) = ( 76 x 942 ) / 35796
GCD(76, 942) = 71592 / 35796
GCD(76, 942) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 418
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 418) = 418
GCD(2, 418) = ( 2 x 418 ) / 418
GCD(2, 418) = 836 / 418
GCD(2, 418) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 697
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 697) = 1394
GCD(2, 697) = ( 2 x 697 ) / 1394
GCD(2, 697) = 1394 / 1394
GCD(2, 697) = 1
GCD of 76, 942, 418, 697 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 76, 942, 418, 697?
GCD of 76, 942, 418, 697 is 1
2. Where do I get the detailed procedure to find GCD of 76, 942, 418, 697?
You can find a detailed procedure to find GCD of 76, 942, 418, 697 on our page.
3. How to find GCD of 76, 942, 418, 697 on a calculator?
You can find the GCD of 76, 942, 418, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.