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, 510, 76, 271 i.e. 1 largest integer that divides all the numbers equally.
GCD of 701, 510, 76, 271 is 1
GCD(701, 510, 76, 271) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 701, 510, 76, 271 is 1
GCD(701, 510, 76, 271) = 1
Given Input numbers are 701, 510, 76, 271
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 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Greatest Common Divisior
We found the divisors of 701, 510, 76, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 701, 510, 76, 271 is 1.
Therefore, GCD of numbers 701, 510, 76, 271 is 1
Given Input Data is 701, 510, 76, 271
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 701 is 701
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 271 is 271
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, 510) = 357510
GCD(701, 510) = ( 701 x 510 ) / 357510
GCD(701, 510) = 357510 / 357510
GCD(701, 510) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 271
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 271) = 271
GCD(1, 271) = ( 1 x 271 ) / 271
GCD(1, 271) = 271 / 271
GCD(1, 271) = 1
GCD of 701, 510, 76, 271 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 701, 510, 76, 271?
GCD of 701, 510, 76, 271 is 1
2. Where do I get the detailed procedure to find GCD of 701, 510, 76, 271?
You can find a detailed procedure to find GCD of 701, 510, 76, 271 on our page.
3. How to find GCD of 701, 510, 76, 271 on a calculator?
You can find the GCD of 701, 510, 76, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.