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 20, 701, 700, 968 i.e. 1 largest integer that divides all the numbers equally.
GCD of 20, 701, 700, 968 is 1
GCD(20, 701, 700, 968) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 20, 701, 700, 968 is 1
GCD(20, 701, 700, 968) = 1
Given Input numbers are 20, 701, 700, 968
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Greatest Common Divisior
We found the divisors of 20, 701, 700, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 701, 700, 968 is 1.
Therefore, GCD of numbers 20, 701, 700, 968 is 1
Given Input Data is 20, 701, 700, 968
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 701 is 701
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
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(20, 701) = 14020
GCD(20, 701) = ( 20 x 701 ) / 14020
GCD(20, 701) = 14020 / 14020
GCD(20, 701) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
GCD(1, 700) = 700 / 700
GCD(1, 700) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 968
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 968) = 968
GCD(1, 968) = ( 1 x 968 ) / 968
GCD(1, 968) = 968 / 968
GCD(1, 968) = 1
GCD of 20, 701, 700, 968 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 20, 701, 700, 968?
GCD of 20, 701, 700, 968 is 1
2. Where do I get the detailed procedure to find GCD of 20, 701, 700, 968?
You can find a detailed procedure to find GCD of 20, 701, 700, 968 on our page.
3. How to find GCD of 20, 701, 700, 968 on a calculator?
You can find the GCD of 20, 701, 700, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.