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 701, 921, 96, 523 i.e. 1 largest integer that divides all the numbers equally.
GCD of 701, 921, 96, 523 is 1
GCD(701, 921, 96, 523) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 701, 921, 96, 523 is 1
GCD(701, 921, 96, 523) = 1
Given Input numbers are 701, 921, 96, 523
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Greatest Common Divisior
We found the divisors of 701, 921, 96, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 701, 921, 96, 523 is 1.
Therefore, GCD of numbers 701, 921, 96, 523 is 1
Given Input Data is 701, 921, 96, 523
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 701 is 701
Prime Factorization of 921 is 3 x 307
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 523 is 523
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(701, 921) = 645621
GCD(701, 921) = ( 701 x 921 ) / 645621
GCD(701, 921) = 645621 / 645621
GCD(701, 921) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
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
GCD of 701, 921, 96, 523 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 701, 921, 96, 523?
GCD of 701, 921, 96, 523 is 1
2. Where do I get the detailed procedure to find GCD of 701, 921, 96, 523?
You can find a detailed procedure to find GCD of 701, 921, 96, 523 on our page.
3. How to find GCD of 701, 921, 96, 523 on a calculator?
You can find the GCD of 701, 921, 96, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.