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 36, 782, 476, 701 i.e. 1 largest integer that divides all the numbers equally.
GCD of 36, 782, 476, 701 is 1
GCD(36, 782, 476, 701) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 36, 782, 476, 701 is 1
GCD(36, 782, 476, 701) = 1
Given Input numbers are 36, 782, 476, 701
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Greatest Common Divisior
We found the divisors of 36, 782, 476, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 782, 476, 701 is 1.
Therefore, GCD of numbers 36, 782, 476, 701 is 1
Given Input Data is 36, 782, 476, 701
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 701 is 701
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(36, 782) = 14076
GCD(36, 782) = ( 36 x 782 ) / 14076
GCD(36, 782) = 28152 / 14076
GCD(36, 782) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 476
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 476) = 476
GCD(2, 476) = ( 2 x 476 ) / 476
GCD(2, 476) = 952 / 476
GCD(2, 476) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 701) = 1402
GCD(2, 701) = ( 2 x 701 ) / 1402
GCD(2, 701) = 1402 / 1402
GCD(2, 701) = 1
GCD of 36, 782, 476, 701 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 36, 782, 476, 701?
GCD of 36, 782, 476, 701 is 1
2. Where do I get the detailed procedure to find GCD of 36, 782, 476, 701?
You can find a detailed procedure to find GCD of 36, 782, 476, 701 on our page.
3. How to find GCD of 36, 782, 476, 701 on a calculator?
You can find the GCD of 36, 782, 476, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.