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 91, 118, 421, 692 i.e. 1 largest integer that divides all the numbers equally.
GCD of 91, 118, 421, 692 is 1
GCD(91, 118, 421, 692) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 91, 118, 421, 692 is 1
GCD(91, 118, 421, 692) = 1
Given Input numbers are 91, 118, 421, 692
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Greatest Common Divisior
We found the divisors of 91, 118, 421, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 118, 421, 692 is 1.
Therefore, GCD of numbers 91, 118, 421, 692 is 1
Given Input Data is 91, 118, 421, 692
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 91 is 7 x 13
Prime Factorization of 118 is 2 x 59
Prime Factorization of 421 is 421
Prime Factorization of 692 is 2 x 2 x 173
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(91, 118) = 10738
GCD(91, 118) = ( 91 x 118 ) / 10738
GCD(91, 118) = 10738 / 10738
GCD(91, 118) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 421
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
GCD(1, 421) = 421 / 421
GCD(1, 421) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 692
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
GCD(1, 692) = 692 / 692
GCD(1, 692) = 1
GCD of 91, 118, 421, 692 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 91, 118, 421, 692?
GCD of 91, 118, 421, 692 is 1
2. Where do I get the detailed procedure to find GCD of 91, 118, 421, 692?
You can find a detailed procedure to find GCD of 91, 118, 421, 692 on our page.
3. How to find GCD of 91, 118, 421, 692 on a calculator?
You can find the GCD of 91, 118, 421, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.